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Finding the Fourth Proportional to 5,000.78, 7,497.13 and 2,081.28

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Solution

The fourth proportional to 5,000.78, 7,497.13 and 2,081.28 is: 3,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.78 : 7,497.13 = 2,081.28 : x
  2. Step 2: Convert to fraction form
    5,000.78/7,497.13 = 2,081.28/x
  3. Step 3: Cross multiply
    5,000.78x = 7,497.13 × 2,081.28
  4. Step 4: Simplify right side
    5,000.78x = 15,603,626.73
  5. Step 5: Solve for x
    x = 15,603,626.73/5,000.78
  6. Step 6: Final answer
    x = 3,120.24

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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.