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Finding the Fourth Proportional to 9,149.20, 12,616.40 and 7,827.28

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Solution

The fourth proportional to 9,149.20, 12,616.40 and 7,827.28 is: 10,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.20 : 12,616.40 = 7,827.28 : x
  2. Step 2: Convert to fraction form
    9,149.20/12,616.40 = 7,827.28/x
  3. Step 3: Cross multiply
    9,149.20x = 12,616.40 × 7,827.28
  4. Step 4: Simplify right side
    9,149.20x = 98,752,095.39
  5. Step 5: Solve for x
    x = 98,752,095.39/9,149.20
  6. Step 6: Final answer
    x = 10,793.52

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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.