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Finding the Fourth Proportional to 8,489.30, 12,713.43 and 4,318.34

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Solution

The fourth proportional to 8,489.30, 12,713.43 and 4,318.34 is: 6,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.30 : 12,713.43 = 4,318.34 : x
  2. Step 2: Convert to fraction form
    8,489.30/12,713.43 = 4,318.34/x
  3. Step 3: Cross multiply
    8,489.30x = 12,713.43 × 4,318.34
  4. Step 4: Simplify right side
    8,489.30x = 54,900,913.31
  5. Step 5: Solve for x
    x = 54,900,913.31/8,489.30
  6. Step 6: Final answer
    x = 6,467.07

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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.