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Finding the Fourth Proportional to 3,462.53, 5,193.80 and 865.47

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Solution

The fourth proportional to 3,462.53, 5,193.80 and 865.47 is: 1,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.53 : 5,193.80 = 865.47 : x
  2. Step 2: Convert to fraction form
    3,462.53/5,193.80 = 865.47/x
  3. Step 3: Cross multiply
    3,462.53x = 5,193.80 × 865.47
  4. Step 4: Simplify right side
    3,462.53x = 4,495,078.09
  5. Step 5: Solve for x
    x = 4,495,078.09/3,462.53
  6. Step 6: Final answer
    x = 1,298.21

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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.