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Finding the Fourth Proportional to 9,132.80, 13,695.20 and 4,200.80

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Solution

The fourth proportional to 9,132.80, 13,695.20 and 4,200.80 is: 6,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.80 : 13,695.20 = 4,200.80 : x
  2. Step 2: Convert to fraction form
    9,132.80/13,695.20 = 4,200.80/x
  3. Step 3: Cross multiply
    9,132.80x = 13,695.20 × 4,200.80
  4. Step 4: Simplify right side
    9,132.80x = 57,530,796.16
  5. Step 5: Solve for x
    x = 57,530,796.16/9,132.80
  6. Step 6: Final answer
    x = 6,299.36

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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.