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Finding the Fourth Proportional to 8,202.71, 12,289.92 and 6,458.87

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Solution

The fourth proportional to 8,202.71, 12,289.92 and 6,458.87 is: 9,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.71 : 12,289.92 = 6,458.87 : x
  2. Step 2: Convert to fraction form
    8,202.71/12,289.92 = 6,458.87/x
  3. Step 3: Cross multiply
    8,202.71x = 12,289.92 × 6,458.87
  4. Step 4: Simplify right side
    8,202.71x = 79,378,934.14
  5. Step 5: Solve for x
    x = 79,378,934.14/8,202.71
  6. Step 6: Final answer
    x = 9,677.17

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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.