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Finding the Fourth Proportional to 14,351.71, 19,805.25 and 7,978.88

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Solution

The fourth proportional to 14,351.71, 19,805.25 and 7,978.88 is: 11,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.71 : 19,805.25 = 7,978.88 : x
  2. Step 2: Convert to fraction form
    14,351.71/19,805.25 = 7,978.88/x
  3. Step 3: Cross multiply
    14,351.71x = 19,805.25 × 7,978.88
  4. Step 4: Simplify right side
    14,351.71x = 158,023,691.97
  5. Step 5: Solve for x
    x = 158,023,691.97/14,351.71
  6. Step 6: Final answer
    x = 11,010.79

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1.5x scale

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.