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Finding the Fourth Proportional to 8,428.74, 12,659.52 and 6,869.90

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Solution

The fourth proportional to 8,428.74, 12,659.52 and 6,869.90 is: 10,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.74 : 12,659.52 = 6,869.90 : x
  2. Step 2: Convert to fraction form
    8,428.74/12,659.52 = 6,869.90/x
  3. Step 3: Cross multiply
    8,428.74x = 12,659.52 × 6,869.90
  4. Step 4: Simplify right side
    8,428.74x = 86,969,636.45
  5. Step 5: Solve for x
    x = 86,969,636.45/8,428.74
  6. Step 6: Final answer
    x = 10,318.23

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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.