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Finding the Fourth Proportional to 8,747.65, 12,074.35 and 8,301.20

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Solution

The fourth proportional to 8,747.65, 12,074.35 and 8,301.20 is: 11,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.65 : 12,074.35 = 8,301.20 : x
  2. Step 2: Convert to fraction form
    8,747.65/12,074.35 = 8,301.20/x
  3. Step 3: Cross multiply
    8,747.65x = 12,074.35 × 8,301.20
  4. Step 4: Simplify right side
    8,747.65x = 100,231,596.58
  5. Step 5: Solve for x
    x = 100,231,596.58/8,747.65
  6. Step 6: Final answer
    x = 11,458.12

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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.