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Finding the Fourth Proportional to 40,870, 56,400.64 and 22,965

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Solution

The fourth proportional to 40,870, 56,400.64 and 22,965 is: 31,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,870 : 56,400.64 = 22,965 : x
  2. Step 2: Convert to fraction form
    40,870/56,400.64 = 22,965/x
  3. Step 3: Cross multiply
    40,870x = 56,400.64 × 22,965
  4. Step 4: Simplify right side
    40,870x = 1,295,240,697.60
  5. Step 5: Solve for x
    x = 1,295,240,697.60/40,870
  6. Step 6: Final answer
    x = 31,691.72

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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.