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Finding the Fourth Proportional to 10,755, 16,130.52 and 2,962.80

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Solution

The fourth proportional to 10,755, 16,130.52 and 2,962.80 is: 4,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755 : 16,130.52 = 2,962.80 : x
  2. Step 2: Convert to fraction form
    10,755/16,130.52 = 2,962.80/x
  3. Step 3: Cross multiply
    10,755x = 16,130.52 × 2,962.80
  4. Step 4: Simplify right side
    10,755x = 47,791,504.66
  5. Step 5: Solve for x
    x = 47,791,504.66/10,755
  6. Step 6: Final answer
    x = 4,443.65

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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.