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Finding the Fourth Proportional to 21,975, 32,962.42 and 5,335.02

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Solution

The fourth proportional to 21,975, 32,962.42 and 5,335.02 is: 8,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975 : 32,962.42 = 5,335.02 : x
  2. Step 2: Convert to fraction form
    21,975/32,962.42 = 5,335.02/x
  3. Step 3: Cross multiply
    21,975x = 32,962.42 × 5,335.02
  4. Step 4: Simplify right side
    21,975x = 175,855,169.95
  5. Step 5: Solve for x
    x = 175,855,169.95/21,975
  6. Step 6: Final answer
    x = 8,002.51

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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.