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Finding the Fourth Proportional to 11,578.24, 15,978.24 and 6,542.08

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Solution

The fourth proportional to 11,578.24, 15,978.24 and 6,542.08 is: 9,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.24 : 15,978.24 = 6,542.08 : x
  2. Step 2: Convert to fraction form
    11,578.24/15,978.24 = 6,542.08/x
  3. Step 3: Cross multiply
    11,578.24x = 15,978.24 × 6,542.08
  4. Step 4: Simplify right side
    11,578.24x = 104,530,924.34
  5. Step 5: Solve for x
    x = 104,530,924.34/11,578.24
  6. Step 6: Final answer
    x = 9,028.22

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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.