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Finding the Fourth Proportional to 15,930.89, 21,978.49 and 10,265.19

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Solution

The fourth proportional to 15,930.89, 21,978.49 and 10,265.19 is: 14,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.89 : 21,978.49 = 10,265.19 : x
  2. Step 2: Convert to fraction form
    15,930.89/21,978.49 = 10,265.19/x
  3. Step 3: Cross multiply
    15,930.89x = 21,978.49 × 10,265.19
  4. Step 4: Simplify right side
    15,930.89x = 225,613,265.87
  5. Step 5: Solve for x
    x = 225,613,265.87/15,930.89
  6. Step 6: Final answer
    x = 14,162.00

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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.