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Finding the Fourth Proportional to 20,963.88, 31,447.80 and 6,924

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Solution

The fourth proportional to 20,963.88, 31,447.80 and 6,924 is: 10,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.88 : 31,447.80 = 6,924 : x
  2. Step 2: Convert to fraction form
    20,963.88/31,447.80 = 6,924/x
  3. Step 3: Cross multiply
    20,963.88x = 31,447.80 × 6,924
  4. Step 4: Simplify right side
    20,963.88x = 217,744,567.20
  5. Step 5: Solve for x
    x = 217,744,567.20/20,963.88
  6. Step 6: Final answer
    x = 10,386.65

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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.