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Finding the Fourth Proportional to 10,165.60, 15,241.20 and 3,923.20

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Solution

The fourth proportional to 10,165.60, 15,241.20 and 3,923.20 is: 5,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.60 : 15,241.20 = 3,923.20 : x
  2. Step 2: Convert to fraction form
    10,165.60/15,241.20 = 3,923.20/x
  3. Step 3: Cross multiply
    10,165.60x = 15,241.20 × 3,923.20
  4. Step 4: Simplify right side
    10,165.60x = 59,794,275.84
  5. Step 5: Solve for x
    x = 59,794,275.84/10,165.60
  6. Step 6: Final answer
    x = 5,882.02

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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.