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Finding the Fourth Proportional to 5,034.68, 7,509.28 and 4,947.20

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Solution

The fourth proportional to 5,034.68, 7,509.28 and 4,947.20 is: 7,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.68 : 7,509.28 = 4,947.20 : x
  2. Step 2: Convert to fraction form
    5,034.68/7,509.28 = 4,947.20/x
  3. Step 3: Cross multiply
    5,034.68x = 7,509.28 × 4,947.20
  4. Step 4: Simplify right side
    5,034.68x = 37,149,910.02
  5. Step 5: Solve for x
    x = 37,149,910.02/5,034.68
  6. Step 6: Final answer
    x = 7,378.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.