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Finding the Fourth Proportional to 26,561, 36,654.18 and 14,785

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Solution

The fourth proportional to 26,561, 36,654.18 and 14,785 is: 20,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,561 : 36,654.18 = 14,785 : x
  2. Step 2: Convert to fraction form
    26,561/36,654.18 = 14,785/x
  3. Step 3: Cross multiply
    26,561x = 36,654.18 × 14,785
  4. Step 4: Simplify right side
    26,561x = 541,932,051.30
  5. Step 5: Solve for x
    x = 541,932,051.30/26,561
  6. Step 6: Final answer
    x = 20,403.30

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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.