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Finding the Fourth Proportional to 20,959.52, 31,441.16 and 5,377.28

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Solution

The fourth proportional to 20,959.52, 31,441.16 and 5,377.28 is: 8,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.52 : 31,441.16 = 5,377.28 : x
  2. Step 2: Convert to fraction form
    20,959.52/31,441.16 = 5,377.28/x
  3. Step 3: Cross multiply
    20,959.52x = 31,441.16 × 5,377.28
  4. Step 4: Simplify right side
    20,959.52x = 169,067,920.84
  5. Step 5: Solve for x
    x = 169,067,920.84/20,959.52
  6. Step 6: Final answer
    x = 8,066.40

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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.