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Finding the Fourth Proportional to 21,963.03, 32,920.91 and 9,488.96

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Solution

The fourth proportional to 21,963.03, 32,920.91 and 9,488.96 is: 14,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.03 : 32,920.91 = 9,488.96 : x
  2. Step 2: Convert to fraction form
    21,963.03/32,920.91 = 9,488.96/x
  3. Step 3: Cross multiply
    21,963.03x = 32,920.91 × 9,488.96
  4. Step 4: Simplify right side
    21,963.03x = 312,385,198.15
  5. Step 5: Solve for x
    x = 312,385,198.15/21,963.03
  6. Step 6: Final answer
    x = 14,223.23

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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.