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Finding the Fourth Proportional to 6,089.73, 9,129.12 and 3,159.15

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Solution

The fourth proportional to 6,089.73, 9,129.12 and 3,159.15 is: 4,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.73 : 9,129.12 = 3,159.15 : x
  2. Step 2: Convert to fraction form
    6,089.73/9,129.12 = 3,159.15/x
  3. Step 3: Cross multiply
    6,089.73x = 9,129.12 × 3,159.15
  4. Step 4: Simplify right side
    6,089.73x = 28,840,259.45
  5. Step 5: Solve for x
    x = 28,840,259.45/6,089.73
  6. Step 6: Final answer
    x = 4,735.88

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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.