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Finding the Fourth Proportional to 10,988.30, 16,489.20 and 4,751.30

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Solution

The fourth proportional to 10,988.30, 16,489.20 and 4,751.30 is: 7,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.30 : 16,489.20 = 4,751.30 : x
  2. Step 2: Convert to fraction form
    10,988.30/16,489.20 = 4,751.30/x
  3. Step 3: Cross multiply
    10,988.30x = 16,489.20 × 4,751.30
  4. Step 4: Simplify right side
    10,988.30x = 78,345,135.96
  5. Step 5: Solve for x
    x = 78,345,135.96/10,988.30
  6. Step 6: Final answer
    x = 7,129.87

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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.