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Finding the Fourth Proportional to 15,293.88, 22,921.38 and 6,978.42

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Solution

The fourth proportional to 15,293.88, 22,921.38 and 6,978.42 is: 10,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.88 : 22,921.38 = 6,978.42 : x
  2. Step 2: Convert to fraction form
    15,293.88/22,921.38 = 6,978.42/x
  3. Step 3: Cross multiply
    15,293.88x = 22,921.38 × 6,978.42
  4. Step 4: Simplify right side
    15,293.88x = 159,955,016.62
  5. Step 5: Solve for x
    x = 159,955,016.62/15,293.88
  6. Step 6: Final answer
    x = 10,458.76

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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.