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Finding the Fourth Proportional to 29,507.20, 40,720.40 and 16,078.47

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Solution

The fourth proportional to 29,507.20, 40,720.40 and 16,078.47 is: 22,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.20 : 40,720.40 = 16,078.47 : x
  2. Step 2: Convert to fraction form
    29,507.20/40,720.40 = 16,078.47/x
  3. Step 3: Cross multiply
    29,507.20x = 40,720.40 × 16,078.47
  4. Step 4: Simplify right side
    29,507.20x = 654,721,729.79
  5. Step 5: Solve for x
    x = 654,721,729.79/29,507.20
  6. Step 6: Final answer
    x = 22,188.54

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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.