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Finding the Fourth Proportional to 21,232.76, 31,849.12 and 7,381.76

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Solution

The fourth proportional to 21,232.76, 31,849.12 and 7,381.76 is: 11,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.76 : 31,849.12 = 7,381.76 : x
  2. Step 2: Convert to fraction form
    21,232.76/31,849.12 = 7,381.76/x
  3. Step 3: Cross multiply
    21,232.76x = 31,849.12 × 7,381.76
  4. Step 4: Simplify right side
    21,232.76x = 235,102,560.05
  5. Step 5: Solve for x
    x = 235,102,560.05/21,232.76
  6. Step 6: Final answer
    x = 11,072.63

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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.