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Finding the Fourth Proportional to 5,039.72, 7,559 and 1,342.20

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Solution

The fourth proportional to 5,039.72, 7,559 and 1,342.20 is: 2,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.72 : 7,559 = 1,342.20 : x
  2. Step 2: Convert to fraction form
    5,039.72/7,559 = 1,342.20/x
  3. Step 3: Cross multiply
    5,039.72x = 7,559 × 1,342.20
  4. Step 4: Simplify right side
    5,039.72x = 10,145,689.80
  5. Step 5: Solve for x
    x = 10,145,689.80/5,039.72
  6. Step 6: Final answer
    x = 2,013.15

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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.