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Finding the Fourth Proportional to 21,325, 31,987.50 and 7,474

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Solution

The fourth proportional to 21,325, 31,987.50 and 7,474 is: 11,211

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,325 : 31,987.50 = 7,474 : x
  2. Step 2: Convert to fraction form
    21,325/31,987.50 = 7,474/x
  3. Step 3: Cross multiply
    21,325x = 31,987.50 × 7,474
  4. Step 4: Simplify right side
    21,325x = 239,074,575
  5. Step 5: Solve for x
    x = 239,074,575/21,325
  6. Step 6: Final answer
    x = 11,211

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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.