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Finding the Fourth Proportional to 8,906.70, 13,357.17 and 6,447.18

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Solution

The fourth proportional to 8,906.70, 13,357.17 and 6,447.18 is: 9,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.70 : 13,357.17 = 6,447.18 : x
  2. Step 2: Convert to fraction form
    8,906.70/13,357.17 = 6,447.18/x
  3. Step 3: Cross multiply
    8,906.70x = 13,357.17 × 6,447.18
  4. Step 4: Simplify right side
    8,906.70x = 86,116,079.28
  5. Step 5: Solve for x
    x = 86,116,079.28/8,906.70
  6. Step 6: Final answer
    x = 9,668.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.