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Finding the Fourth Proportional to 7,078.83, 10,617 and 2,696.55

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Solution

The fourth proportional to 7,078.83, 10,617 and 2,696.55 is: 4,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.83 : 10,617 = 2,696.55 : x
  2. Step 2: Convert to fraction form
    7,078.83/10,617 = 2,696.55/x
  3. Step 3: Cross multiply
    7,078.83x = 10,617 × 2,696.55
  4. Step 4: Simplify right side
    7,078.83x = 28,629,218.27
  5. Step 5: Solve for x
    x = 28,629,218.27/7,078.83
  6. Step 6: Final answer
    x = 4,044.35

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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.