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Finding the Fourth Proportional to 29,565.68, 40,807.32 and 20,138

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Solution

The fourth proportional to 29,565.68, 40,807.32 and 20,138 is: 27,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565.68 : 40,807.32 = 20,138 : x
  2. Step 2: Convert to fraction form
    29,565.68/40,807.32 = 20,138/x
  3. Step 3: Cross multiply
    29,565.68x = 40,807.32 × 20,138
  4. Step 4: Simplify right side
    29,565.68x = 821,777,810.16
  5. Step 5: Solve for x
    x = 821,777,810.16/29,565.68
  6. Step 6: Final answer
    x = 27,794.99

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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.