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Finding the Fourth Proportional to 5,065, 7,601.10 and 1,987

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Solution

The fourth proportional to 5,065, 7,601.10 and 1,987 is: 2,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065 : 7,601.10 = 1,987 : x
  2. Step 2: Convert to fraction form
    5,065/7,601.10 = 1,987/x
  3. Step 3: Cross multiply
    5,065x = 7,601.10 × 1,987
  4. Step 4: Simplify right side
    5,065x = 15,103,385.70
  5. Step 5: Solve for x
    x = 15,103,385.70/5,065
  6. Step 6: Final answer
    x = 2,981.91

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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.