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Finding the Fourth Proportional to 11,753.54, 17,630.78 and 2,988.52

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Solution

The fourth proportional to 11,753.54, 17,630.78 and 2,988.52 is: 4,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.54 : 17,630.78 = 2,988.52 : x
  2. Step 2: Convert to fraction form
    11,753.54/17,630.78 = 2,988.52/x
  3. Step 3: Cross multiply
    11,753.54x = 17,630.78 × 2,988.52
  4. Step 4: Simplify right side
    11,753.54x = 52,689,938.65
  5. Step 5: Solve for x
    x = 52,689,938.65/11,753.54
  6. Step 6: Final answer
    x = 4,482.90

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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.