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Finding the Fourth Proportional to 12,138.68, 16,752.98 and 6,834.53

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Solution

The fourth proportional to 12,138.68, 16,752.98 and 6,834.53 is: 9,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.68 : 16,752.98 = 6,834.53 : x
  2. Step 2: Convert to fraction form
    12,138.68/16,752.98 = 6,834.53/x
  3. Step 3: Cross multiply
    12,138.68x = 16,752.98 × 6,834.53
  4. Step 4: Simplify right side
    12,138.68x = 114,498,744.40
  5. Step 5: Solve for x
    x = 114,498,744.40/12,138.68
  6. Step 6: Final answer
    x = 9,432.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.