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Finding the Fourth Proportional to 40,887, 56,425.28 and 24,120

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Solution

The fourth proportional to 40,887, 56,425.28 and 24,120 is: 33,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,887 : 56,425.28 = 24,120 : x
  2. Step 2: Convert to fraction form
    40,887/56,425.28 = 24,120/x
  3. Step 3: Cross multiply
    40,887x = 56,425.28 × 24,120
  4. Step 4: Simplify right side
    40,887x = 1,360,977,633
  5. Step 5: Solve for x
    x = 1,360,977,633/40,887
  6. Step 6: Final answer
    x = 33,286.32

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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.