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Finding the Fourth Proportional to 9,129.92, 12,599.42 and 5,986.04

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Solution

The fourth proportional to 9,129.92, 12,599.42 and 5,986.04 is: 8,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.92 : 12,599.42 = 5,986.04 : x
  2. Step 2: Convert to fraction form
    9,129.92/12,599.42 = 5,986.04/x
  3. Step 3: Cross multiply
    9,129.92x = 12,599.42 × 5,986.04
  4. Step 4: Simplify right side
    9,129.92x = 75,420,539.17
  5. Step 5: Solve for x
    x = 75,420,539.17/9,129.92
  6. Step 6: Final answer
    x = 8,260.82

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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.