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Finding the Fourth Proportional to 10,687.02, 16,034 and 5,140.80

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Solution

The fourth proportional to 10,687.02, 16,034 and 5,140.80 is: 7,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.02 : 16,034 = 5,140.80 : x
  2. Step 2: Convert to fraction form
    10,687.02/16,034 = 5,140.80/x
  3. Step 3: Cross multiply
    10,687.02x = 16,034 × 5,140.80
  4. Step 4: Simplify right side
    10,687.02x = 82,427,587.20
  5. Step 5: Solve for x
    x = 82,427,587.20/10,687.02
  6. Step 6: Final answer
    x = 7,712.87

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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.