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Finding the Fourth Proportional to 9,187.65, 12,685.28 and 6,207.66

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Solution

The fourth proportional to 9,187.65, 12,685.28 and 6,207.66 is: 8,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.65 : 12,685.28 = 6,207.66 : x
  2. Step 2: Convert to fraction form
    9,187.65/12,685.28 = 6,207.66/x
  3. Step 3: Cross multiply
    9,187.65x = 12,685.28 × 6,207.66
  4. Step 4: Simplify right side
    9,187.65x = 78,745,874.21
  5. Step 5: Solve for x
    x = 78,745,874.21/9,187.65
  6. Step 6: Final answer
    x = 8,570.84

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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.