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Finding the Fourth Proportional to 1,672.47, 2,509.47 and 747.95

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Solution

The fourth proportional to 1,672.47, 2,509.47 and 747.95 is: 1,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.47 : 2,509.47 = 747.95 : x
  2. Step 2: Convert to fraction form
    1,672.47/2,509.47 = 747.95/x
  3. Step 3: Cross multiply
    1,672.47x = 2,509.47 × 747.95
  4. Step 4: Simplify right side
    1,672.47x = 1,876,945.54
  5. Step 5: Solve for x
    x = 1,876,945.54/1,672.47
  6. Step 6: Final answer
    x = 1,122.26

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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.