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Finding the Fourth Proportional to 29,407.64, 40,581.32 and 15,978.44

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Solution

The fourth proportional to 29,407.64, 40,581.32 and 15,978.44 is: 22,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.64 : 40,581.32 = 15,978.44 : x
  2. Step 2: Convert to fraction form
    29,407.64/40,581.32 = 15,978.44/x
  3. Step 3: Cross multiply
    29,407.64x = 40,581.32 × 15,978.44
  4. Step 4: Simplify right side
    29,407.64x = 648,426,186.74
  5. Step 5: Solve for x
    x = 648,426,186.74/29,407.64
  6. Step 6: Final answer
    x = 22,049.58

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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.