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Finding the Fourth Proportional to 8,906.94, 13,370.76 and 5,211.82

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Solution

The fourth proportional to 8,906.94, 13,370.76 and 5,211.82 is: 7,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.94 : 13,370.76 = 5,211.82 : x
  2. Step 2: Convert to fraction form
    8,906.94/13,370.76 = 5,211.82/x
  3. Step 3: Cross multiply
    8,906.94x = 13,370.76 × 5,211.82
  4. Step 4: Simplify right side
    8,906.94x = 69,685,994.38
  5. Step 5: Solve for x
    x = 69,685,994.38/8,906.94
  6. Step 6: Final answer
    x = 7,823.79

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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.