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Finding the Fourth Proportional to 21,302.80, 31,954.20 and 8,821.12

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Solution

The fourth proportional to 21,302.80, 31,954.20 and 8,821.12 is: 13,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.80 : 31,954.20 = 8,821.12 : x
  2. Step 2: Convert to fraction form
    21,302.80/31,954.20 = 8,821.12/x
  3. Step 3: Cross multiply
    21,302.80x = 31,954.20 × 8,821.12
  4. Step 4: Simplify right side
    21,302.80x = 281,871,832.70
  5. Step 5: Solve for x
    x = 281,871,832.70/21,302.80
  6. Step 6: Final answer
    x = 13,231.68

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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.