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Finding the Fourth Proportional to 8,273, 11,411.64 and 5,440.76

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Solution

The fourth proportional to 8,273, 11,411.64 and 5,440.76 is: 7,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273 : 11,411.64 = 5,440.76 : x
  2. Step 2: Convert to fraction form
    8,273/11,411.64 = 5,440.76/x
  3. Step 3: Cross multiply
    8,273x = 11,411.64 × 5,440.76
  4. Step 4: Simplify right side
    8,273x = 62,087,994.45
  5. Step 5: Solve for x
    x = 62,087,994.45/8,273
  6. Step 6: Final answer
    x = 7,504.89

Related Problems

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Half scale
Find fourth proportional to 16,546, 22,823.28 and 10,881.52
Double scale
Find fourth proportional to 8,274, 11,413.02 and 5,441.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.