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Finding the Fourth Proportional to 40,565.08, 55,978.14 and 22,660

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Solution

The fourth proportional to 40,565.08, 55,978.14 and 22,660 is: 31,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,565.08 : 55,978.14 = 22,660 : x
  2. Step 2: Convert to fraction form
    40,565.08/55,978.14 = 22,660/x
  3. Step 3: Cross multiply
    40,565.08x = 55,978.14 × 22,660
  4. Step 4: Simplify right side
    40,565.08x = 1,268,464,652.40
  5. Step 5: Solve for x
    x = 1,268,464,652.40/40,565.08
  6. Step 6: Final answer
    x = 31,269.87

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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.