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Finding the Fourth Proportional to 11,578.14, 15,978.46 and 6,542.57

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Solution

The fourth proportional to 11,578.14, 15,978.46 and 6,542.57 is: 9,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.14 : 15,978.46 = 6,542.57 : x
  2. Step 2: Convert to fraction form
    11,578.14/15,978.46 = 6,542.57/x
  3. Step 3: Cross multiply
    11,578.14x = 15,978.46 × 6,542.57
  4. Step 4: Simplify right side
    11,578.14x = 104,540,216.63
  5. Step 5: Solve for x
    x = 104,540,216.63/11,578.14
  6. Step 6: Final answer
    x = 9,029.10

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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.