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Finding the Fourth Proportional to 3,104.78, 4,657.17 and 913.53

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Solution

The fourth proportional to 3,104.78, 4,657.17 and 913.53 is: 1,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.78 : 4,657.17 = 913.53 : x
  2. Step 2: Convert to fraction form
    3,104.78/4,657.17 = 913.53/x
  3. Step 3: Cross multiply
    3,104.78x = 4,657.17 × 913.53
  4. Step 4: Simplify right side
    3,104.78x = 4,254,456.63
  5. Step 5: Solve for x
    x = 4,254,456.63/3,104.78
  6. Step 6: Final answer
    x = 1,370.29

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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.