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Finding the Fourth Proportional to 29,319.10, 43,978.64 and 7,132.48

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Solution

The fourth proportional to 29,319.10, 43,978.64 and 7,132.48 is: 10,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319.10 : 43,978.64 = 7,132.48 : x
  2. Step 2: Convert to fraction form
    29,319.10/43,978.64 = 7,132.48/x
  3. Step 3: Cross multiply
    29,319.10x = 43,978.64 × 7,132.48
  4. Step 4: Simplify right side
    29,319.10x = 313,676,624.62
  5. Step 5: Solve for x
    x = 313,676,624.62/29,319.10
  6. Step 6: Final answer
    x = 10,698.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.