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Finding the Fourth Proportional to 3,534, 4,876.92 and 1,962.42

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Solution

The fourth proportional to 3,534, 4,876.92 and 1,962.42 is: 2,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 4,876.92 = 1,962.42 : x
  2. Step 2: Convert to fraction form
    3,534/4,876.92 = 1,962.42/x
  3. Step 3: Cross multiply
    3,534x = 4,876.92 × 1,962.42
  4. Step 4: Simplify right side
    3,534x = 9,570,565.35
  5. Step 5: Solve for x
    x = 9,570,565.35/3,534
  6. Step 6: Final answer
    x = 2,708.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.