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Finding the Fourth Proportional to 11,873.80, 17,811.12 and 4,082.56

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Solution

The fourth proportional to 11,873.80, 17,811.12 and 4,082.56 is: 6,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.80 : 17,811.12 = 4,082.56 : x
  2. Step 2: Convert to fraction form
    11,873.80/17,811.12 = 4,082.56/x
  3. Step 3: Cross multiply
    11,873.80x = 17,811.12 × 4,082.56
  4. Step 4: Simplify right side
    11,873.80x = 72,714,966.07
  5. Step 5: Solve for x
    x = 72,714,966.07/11,873.80
  6. Step 6: Final answer
    x = 6,123.98

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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.