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Finding the Fourth Proportional to 13,122.76, 19,684.16 and 5,329.76

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Solution

The fourth proportional to 13,122.76, 19,684.16 and 5,329.76 is: 7,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.76 : 19,684.16 = 5,329.76 : x
  2. Step 2: Convert to fraction form
    13,122.76/19,684.16 = 5,329.76/x
  3. Step 3: Cross multiply
    13,122.76x = 19,684.16 × 5,329.76
  4. Step 4: Simplify right side
    13,122.76x = 104,911,848.60
  5. Step 5: Solve for x
    x = 104,911,848.60/13,122.76
  6. Step 6: Final answer
    x = 7,994.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.