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Finding the Fourth Proportional to 10,586.40, 15,872.40 and 5,042.40

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Solution

The fourth proportional to 10,586.40, 15,872.40 and 5,042.40 is: 7,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.40 : 15,872.40 = 5,042.40 : x
  2. Step 2: Convert to fraction form
    10,586.40/15,872.40 = 5,042.40/x
  3. Step 3: Cross multiply
    10,586.40x = 15,872.40 × 5,042.40
  4. Step 4: Simplify right side
    10,586.40x = 80,034,989.76
  5. Step 5: Solve for x
    x = 80,034,989.76/10,586.40
  6. Step 6: Final answer
    x = 7,560.17

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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.