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Finding the Fourth Proportional to 26,528, 39,785.92 and 11,728.88

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Solution

The fourth proportional to 26,528, 39,785.92 and 11,728.88 is: 17,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,528 : 39,785.92 = 11,728.88 : x
  2. Step 2: Convert to fraction form
    26,528/39,785.92 = 11,728.88/x
  3. Step 3: Cross multiply
    26,528x = 39,785.92 × 11,728.88
  4. Step 4: Simplify right side
    26,528x = 466,644,281.37
  5. Step 5: Solve for x
    x = 466,644,281.37/26,528
  6. Step 6: Final answer
    x = 17,590.63

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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.