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Finding the Fourth Proportional to 15,326.75, 22,978.47 and 7,926.49

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Solution

The fourth proportional to 15,326.75, 22,978.47 and 7,926.49 is: 11,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,326.75 : 22,978.47 = 7,926.49 : x
  2. Step 2: Convert to fraction form
    15,326.75/22,978.47 = 7,926.49/x
  3. Step 3: Cross multiply
    15,326.75x = 22,978.47 × 7,926.49
  4. Step 4: Simplify right side
    15,326.75x = 182,138,671.12
  5. Step 5: Solve for x
    x = 182,138,671.12/15,326.75
  6. Step 6: Final answer
    x = 11,883.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.