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Finding the Fourth Proportional to 9,328.61, 12,874.39 and 6,966.65

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Solution

The fourth proportional to 9,328.61, 12,874.39 and 6,966.65 is: 9,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.61 : 12,874.39 = 6,966.65 : x
  2. Step 2: Convert to fraction form
    9,328.61/12,874.39 = 6,966.65/x
  3. Step 3: Cross multiply
    9,328.61x = 12,874.39 × 6,966.65
  4. Step 4: Simplify right side
    9,328.61x = 89,691,287.30
  5. Step 5: Solve for x
    x = 89,691,287.30/9,328.61
  6. Step 6: Final answer
    x = 9,614.65

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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.