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Finding the Fourth Proportional to 2,348.38, 3,523.06 and 887.50

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Solution

The fourth proportional to 2,348.38, 3,523.06 and 887.50 is: 1,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.38 : 3,523.06 = 887.50 : x
  2. Step 2: Convert to fraction form
    2,348.38/3,523.06 = 887.50/x
  3. Step 3: Cross multiply
    2,348.38x = 3,523.06 × 887.50
  4. Step 4: Simplify right side
    2,348.38x = 3,126,715.75
  5. Step 5: Solve for x
    x = 3,126,715.75/2,348.38
  6. Step 6: Final answer
    x = 1,331.44

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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.