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Finding the Fourth Proportional to 12,296.52, 16,963.74 and 7,578

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Solution

The fourth proportional to 12,296.52, 16,963.74 and 7,578 is: 10,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.52 : 16,963.74 = 7,578 : x
  2. Step 2: Convert to fraction form
    12,296.52/16,963.74 = 7,578/x
  3. Step 3: Cross multiply
    12,296.52x = 16,963.74 × 7,578
  4. Step 4: Simplify right side
    12,296.52x = 128,551,221.72
  5. Step 5: Solve for x
    x = 128,551,221.72/12,296.52
  6. Step 6: Final answer
    x = 10,454.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.