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Finding the Fourth Proportional to 29,406.96, 40,581.12 and 15,978.42

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Solution

The fourth proportional to 29,406.96, 40,581.12 and 15,978.42 is: 22,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.96 : 40,581.12 = 15,978.42 : x
  2. Step 2: Convert to fraction form
    29,406.96/40,581.12 = 15,978.42/x
  3. Step 3: Cross multiply
    29,406.96x = 40,581.12 × 15,978.42
  4. Step 4: Simplify right side
    29,406.96x = 648,422,179.43
  5. Step 5: Solve for x
    x = 648,422,179.43/29,406.96
  6. Step 6: Final answer
    x = 22,049.96

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1.5x scale

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.