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Finding the Fourth Proportional to 11,578.52, 15,978.97 and 6,542.95

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Solution

The fourth proportional to 11,578.52, 15,978.97 and 6,542.95 is: 9,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.52 : 15,978.97 = 6,542.95 : x
  2. Step 2: Convert to fraction form
    11,578.52/15,978.97 = 6,542.95/x
  3. Step 3: Cross multiply
    11,578.52x = 15,978.97 × 6,542.95
  4. Step 4: Simplify right side
    11,578.52x = 104,549,569.99
  5. Step 5: Solve for x
    x = 104,549,569.99/11,578.52
  6. Step 6: Final answer
    x = 9,029.62

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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.