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Finding the Fourth Proportional to 3,251.25, 4,484.84 and 3,032.55

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Solution

The fourth proportional to 3,251.25, 4,484.84 and 3,032.55 is: 4,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.25 : 4,484.84 = 3,032.55 : x
  2. Step 2: Convert to fraction form
    3,251.25/4,484.84 = 3,032.55/x
  3. Step 3: Cross multiply
    3,251.25x = 4,484.84 × 3,032.55
  4. Step 4: Simplify right side
    3,251.25x = 13,600,486.38
  5. Step 5: Solve for x
    x = 13,600,486.38/3,251.25
  6. Step 6: Final answer
    x = 4,183.16

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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.