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Finding the Fourth Proportional to 7,691.52, 11,541.76 and 3,078.40

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Solution

The fourth proportional to 7,691.52, 11,541.76 and 3,078.40 is: 4,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.52 : 11,541.76 = 3,078.40 : x
  2. Step 2: Convert to fraction form
    7,691.52/11,541.76 = 3,078.40/x
  3. Step 3: Cross multiply
    7,691.52x = 11,541.76 × 3,078.40
  4. Step 4: Simplify right side
    7,691.52x = 35,530,153.98
  5. Step 5: Solve for x
    x = 35,530,153.98/7,691.52
  6. Step 6: Final answer
    x = 4,619.39

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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.