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Finding the Fourth Proportional to 15,978.89, 22,050.82 and 9,268.40

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Solution

The fourth proportional to 15,978.89, 22,050.82 and 9,268.40 is: 12,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.89 : 22,050.82 = 9,268.40 : x
  2. Step 2: Convert to fraction form
    15,978.89/22,050.82 = 9,268.40/x
  3. Step 3: Cross multiply
    15,978.89x = 22,050.82 × 9,268.40
  4. Step 4: Simplify right side
    15,978.89x = 204,375,820.09
  5. Step 5: Solve for x
    x = 204,375,820.09/15,978.89
  6. Step 6: Final answer
    x = 12,790.36

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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.