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Finding the Fourth Proportional to 10,143.60, 15,208.20 and 3,901.20

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Solution

The fourth proportional to 10,143.60, 15,208.20 and 3,901.20 is: 5,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.60 : 15,208.20 = 3,901.20 : x
  2. Step 2: Convert to fraction form
    10,143.60/15,208.20 = 3,901.20/x
  3. Step 3: Cross multiply
    10,143.60x = 15,208.20 × 3,901.20
  4. Step 4: Simplify right side
    10,143.60x = 59,330,229.84
  5. Step 5: Solve for x
    x = 59,330,229.84/10,143.60
  6. Step 6: Final answer
    x = 5,849.03

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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.