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Finding the Fourth Proportional to 11,579.68, 15,978.22 and 6,543.61

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Solution

The fourth proportional to 11,579.68, 15,978.22 and 6,543.61 is: 9,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.68 : 15,978.22 = 6,543.61 : x
  2. Step 2: Convert to fraction form
    11,579.68/15,978.22 = 6,543.61/x
  3. Step 3: Cross multiply
    11,579.68x = 15,978.22 × 6,543.61
  4. Step 4: Simplify right side
    11,579.68x = 104,555,240.17
  5. Step 5: Solve for x
    x = 104,555,240.17/11,579.68
  6. Step 6: Final answer
    x = 9,029.20

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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.