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Finding the Fourth Proportional to 8,582.49, 12,862.67 and 8,489.61

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Solution

The fourth proportional to 8,582.49, 12,862.67 and 8,489.61 is: 12,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.49 : 12,862.67 = 8,489.61 : x
  2. Step 2: Convert to fraction form
    8,582.49/12,862.67 = 8,489.61/x
  3. Step 3: Cross multiply
    8,582.49x = 12,862.67 × 8,489.61
  4. Step 4: Simplify right side
    8,582.49x = 109,199,009.41
  5. Step 5: Solve for x
    x = 109,199,009.41/8,582.49
  6. Step 6: Final answer
    x = 12,723.46

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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.