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Finding the Fourth Proportional to 9,149.16, 13,701.86 and 8,689.90

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Solution

The fourth proportional to 9,149.16, 13,701.86 and 8,689.90 is: 13,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.16 : 13,701.86 = 8,689.90 : x
  2. Step 2: Convert to fraction form
    9,149.16/13,701.86 = 8,689.90/x
  3. Step 3: Cross multiply
    9,149.16x = 13,701.86 × 8,689.90
  4. Step 4: Simplify right side
    9,149.16x = 119,067,793.21
  5. Step 5: Solve for x
    x = 119,067,793.21/9,149.16
  6. Step 6: Final answer
    x = 13,014.07

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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.