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Finding the Fourth Proportional to 21,290.71, 31,935.90 and 5,494.40

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Solution

The fourth proportional to 21,290.71, 31,935.90 and 5,494.40 is: 8,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290.71 : 31,935.90 = 5,494.40 : x
  2. Step 2: Convert to fraction form
    21,290.71/31,935.90 = 5,494.40/x
  3. Step 3: Cross multiply
    21,290.71x = 31,935.90 × 5,494.40
  4. Step 4: Simplify right side
    21,290.71x = 175,468,449.28
  5. Step 5: Solve for x
    x = 175,468,449.28/21,290.71
  6. Step 6: Final answer
    x = 8,241.55

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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.