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Finding the Fourth Proportional to 2,447.52, 3,670.97 and 887.61

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Solution

The fourth proportional to 2,447.52, 3,670.97 and 887.61 is: 1,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.52 : 3,670.97 = 887.61 : x
  2. Step 2: Convert to fraction form
    2,447.52/3,670.97 = 887.61/x
  3. Step 3: Cross multiply
    2,447.52x = 3,670.97 × 887.61
  4. Step 4: Simplify right side
    2,447.52x = 3,258,383.35
  5. Step 5: Solve for x
    x = 3,258,383.35/2,447.52
  6. Step 6: Final answer
    x = 1,331.30

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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.