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Finding the Fourth Proportional to 5,078.66, 7,618.14 and 1,380.87

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Solution

The fourth proportional to 5,078.66, 7,618.14 and 1,380.87 is: 2,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.66 : 7,618.14 = 1,380.87 : x
  2. Step 2: Convert to fraction form
    5,078.66/7,618.14 = 1,380.87/x
  3. Step 3: Cross multiply
    5,078.66x = 7,618.14 × 1,380.87
  4. Step 4: Simplify right side
    5,078.66x = 10,519,660.98
  5. Step 5: Solve for x
    x = 10,519,660.98/5,078.66
  6. Step 6: Final answer
    x = 2,071.35

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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.