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Finding the Fourth Proportional to 18,752.25, 28,132.17 and 8,364

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Solution

The fourth proportional to 18,752.25, 28,132.17 and 8,364 is: 12,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,752.25 : 28,132.17 = 8,364 : x
  2. Step 2: Convert to fraction form
    18,752.25/28,132.17 = 8,364/x
  3. Step 3: Cross multiply
    18,752.25x = 28,132.17 × 8,364
  4. Step 4: Simplify right side
    18,752.25x = 235,297,469.88
  5. Step 5: Solve for x
    x = 235,297,469.88/18,752.25
  6. Step 6: Final answer
    x = 12,547.69

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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.