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Finding the Fourth Proportional to 21,290.84, 31,936.25 and 8,147.24

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Solution

The fourth proportional to 21,290.84, 31,936.25 and 8,147.24 is: 12,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290.84 : 31,936.25 = 8,147.24 : x
  2. Step 2: Convert to fraction form
    21,290.84/31,936.25 = 8,147.24/x
  3. Step 3: Cross multiply
    21,290.84x = 31,936.25 × 8,147.24
  4. Step 4: Simplify right side
    21,290.84x = 260,192,154.14
  5. Step 5: Solve for x
    x = 260,192,154.14/21,290.84
  6. Step 6: Final answer
    x = 12,220.85

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1.5x scale

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.