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Finding the Fourth Proportional to 3,680, 5,520.28 and 1,371.50

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Solution

The fourth proportional to 3,680, 5,520.28 and 1,371.50 is: 2,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680 : 5,520.28 = 1,371.50 : x
  2. Step 2: Convert to fraction form
    3,680/5,520.28 = 1,371.50/x
  3. Step 3: Cross multiply
    3,680x = 5,520.28 × 1,371.50
  4. Step 4: Simplify right side
    3,680x = 7,571,064.02
  5. Step 5: Solve for x
    x = 7,571,064.02/3,680
  6. Step 6: Final answer
    x = 2,057.35

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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.