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Finding the Fourth Proportional to 5,078.78, 7,616.94 and 1,746.64

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Solution

The fourth proportional to 5,078.78, 7,616.94 and 1,746.64 is: 2,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.78 : 7,616.94 = 1,746.64 : x
  2. Step 2: Convert to fraction form
    5,078.78/7,616.94 = 1,746.64/x
  3. Step 3: Cross multiply
    5,078.78x = 7,616.94 × 1,746.64
  4. Step 4: Simplify right side
    5,078.78x = 13,304,052.08
  5. Step 5: Solve for x
    x = 13,304,052.08/5,078.78
  6. Step 6: Final answer
    x = 2,619.54

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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.