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Finding the Fourth Proportional to 26,260.56, 36,221.04 and 15,642

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Solution

The fourth proportional to 26,260.56, 36,221.04 and 15,642 is: 21,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,260.56 : 36,221.04 = 15,642 : x
  2. Step 2: Convert to fraction form
    26,260.56/36,221.04 = 15,642/x
  3. Step 3: Cross multiply
    26,260.56x = 36,221.04 × 15,642
  4. Step 4: Simplify right side
    26,260.56x = 566,569,507.68
  5. Step 5: Solve for x
    x = 566,569,507.68/26,260.56
  6. Step 6: Final answer
    x = 21,574.92

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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.