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Finding the Fourth Proportional to 20,795.76, 31,215.24 and 12,047.76

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Solution

The fourth proportional to 20,795.76, 31,215.24 and 12,047.76 is: 18,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795.76 : 31,215.24 = 12,047.76 : x
  2. Step 2: Convert to fraction form
    20,795.76/31,215.24 = 12,047.76/x
  3. Step 3: Cross multiply
    20,795.76x = 31,215.24 × 12,047.76
  4. Step 4: Simplify right side
    20,795.76x = 376,073,719.86
  5. Step 5: Solve for x
    x = 376,073,719.86/20,795.76
  6. Step 6: Final answer
    x = 18,084.15

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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.