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Finding the Fourth Proportional to 37,832, 52,209.78 and 21,065

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Solution

The fourth proportional to 37,832, 52,209.78 and 21,065 is: 29,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832 : 52,209.78 = 21,065 : x
  2. Step 2: Convert to fraction form
    37,832/52,209.78 = 21,065/x
  3. Step 3: Cross multiply
    37,832x = 52,209.78 × 21,065
  4. Step 4: Simplify right side
    37,832x = 1,099,799,015.70
  5. Step 5: Solve for x
    x = 1,099,799,015.70/37,832
  6. Step 6: Final answer
    x = 29,070.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.