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Finding the Fourth Proportional to 10,082.00, 15,129.08 and 3,512.80

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Solution

The fourth proportional to 10,082.00, 15,129.08 and 3,512.80 is: 5,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.00 : 15,129.08 = 3,512.80 : x
  2. Step 2: Convert to fraction form
    10,082.00/15,129.08 = 3,512.80/x
  3. Step 3: Cross multiply
    10,082.00x = 15,129.08 × 3,512.80
  4. Step 4: Simplify right side
    10,082.00x = 53,145,446.74
  5. Step 5: Solve for x
    x = 53,145,446.74/10,082.00
  6. Step 6: Final answer
    x = 5,271.32

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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.