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Finding the Fourth Proportional to 2,348.12, 3,522.26 and 887.38

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Solution

The fourth proportional to 2,348.12, 3,522.26 and 887.38 is: 1,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.12 : 3,522.26 = 887.38 : x
  2. Step 2: Convert to fraction form
    2,348.12/3,522.26 = 887.38/x
  3. Step 3: Cross multiply
    2,348.12x = 3,522.26 × 887.38
  4. Step 4: Simplify right side
    2,348.12x = 3,125,576.49
  5. Step 5: Solve for x
    x = 3,125,576.49/2,348.12
  6. Step 6: Final answer
    x = 1,331.10

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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.