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Finding the Fourth Proportional to 10,002.60, 15,003.90 and 3,428.85

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Solution

The fourth proportional to 10,002.60, 15,003.90 and 3,428.85 is: 5,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.60 : 15,003.90 = 3,428.85 : x
  2. Step 2: Convert to fraction form
    10,002.60/15,003.90 = 3,428.85/x
  3. Step 3: Cross multiply
    10,002.60x = 15,003.90 × 3,428.85
  4. Step 4: Simplify right side
    10,002.60x = 51,446,122.52
  5. Step 5: Solve for x
    x = 51,446,122.52/10,002.60
  6. Step 6: Final answer
    x = 5,143.28

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1.5x scale

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.