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Finding the Fourth Proportional to 5,078.56, 7,614 and 2,768.80

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Solution

The fourth proportional to 5,078.56, 7,614 and 2,768.80 is: 4,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.56 : 7,614 = 2,768.80 : x
  2. Step 2: Convert to fraction form
    5,078.56/7,614 = 2,768.80/x
  3. Step 3: Cross multiply
    5,078.56x = 7,614 × 2,768.80
  4. Step 4: Simplify right side
    5,078.56x = 21,081,643.20
  5. Step 5: Solve for x
    x = 21,081,643.20/5,078.56
  6. Step 6: Final answer
    x = 4,151.11

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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.