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Finding the Fourth Proportional to 9,411.80, 12,962.02 and 9,207.68

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Solution

The fourth proportional to 9,411.80, 12,962.02 and 9,207.68 is: 12,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.80 : 12,962.02 = 9,207.68 : x
  2. Step 2: Convert to fraction form
    9,411.80/12,962.02 = 9,207.68/x
  3. Step 3: Cross multiply
    9,411.80x = 12,962.02 × 9,207.68
  4. Step 4: Simplify right side
    9,411.80x = 119,350,132.31
  5. Step 5: Solve for x
    x = 119,350,132.31/9,411.80
  6. Step 6: Final answer
    x = 12,680.90

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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.