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Finding the Fourth Proportional to 21,806.90, 32,702.07 and 9,319.10

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Solution

The fourth proportional to 21,806.90, 32,702.07 and 9,319.10 is: 13,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.90 : 32,702.07 = 9,319.10 : x
  2. Step 2: Convert to fraction form
    21,806.90/32,702.07 = 9,319.10/x
  3. Step 3: Cross multiply
    21,806.90x = 32,702.07 × 9,319.10
  4. Step 4: Simplify right side
    21,806.90x = 304,753,860.54
  5. Step 5: Solve for x
    x = 304,753,860.54/21,806.90
  6. Step 6: Final answer
    x = 13,975.11

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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.