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Finding the Fourth Proportional to 40,862, 56,390.30 and 22,714.42

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Solution

The fourth proportional to 40,862, 56,390.30 and 22,714.42 is: 31,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,862 : 56,390.30 = 22,714.42 : x
  2. Step 2: Convert to fraction form
    40,862/56,390.30 = 22,714.42/x
  3. Step 3: Cross multiply
    40,862x = 56,390.30 × 22,714.42
  4. Step 4: Simplify right side
    40,862x = 1,280,872,958.13
  5. Step 5: Solve for x
    x = 1,280,872,958.13/40,862
  6. Step 6: Final answer
    x = 31,346.31

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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.