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Finding the Fourth Proportional to 10,861.54, 16,265.71 and 9,809.71

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Solution

The fourth proportional to 10,861.54, 16,265.71 and 9,809.71 is: 14,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.54 : 16,265.71 = 9,809.71 : x
  2. Step 2: Convert to fraction form
    10,861.54/16,265.71 = 9,809.71/x
  3. Step 3: Cross multiply
    10,861.54x = 16,265.71 × 9,809.71
  4. Step 4: Simplify right side
    10,861.54x = 159,561,869.64
  5. Step 5: Solve for x
    x = 159,561,869.64/10,861.54
  6. Step 6: Final answer
    x = 14,690.53

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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.