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Finding the Fourth Proportional to 3,760.26, 5,639.93 and 987.15

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Solution

The fourth proportional to 3,760.26, 5,639.93 and 987.15 is: 1,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.26 : 5,639.93 = 987.15 : x
  2. Step 2: Convert to fraction form
    3,760.26/5,639.93 = 987.15/x
  3. Step 3: Cross multiply
    3,760.26x = 5,639.93 × 987.15
  4. Step 4: Simplify right side
    3,760.26x = 5,567,428.70
  5. Step 5: Solve for x
    x = 5,567,428.70/3,760.26
  6. Step 6: Final answer
    x = 1,480.60

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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.