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Finding the Fourth Proportional to 10,447.68, 15,672.40 and 3,873.90

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Solution

The fourth proportional to 10,447.68, 15,672.40 and 3,873.90 is: 5,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.68 : 15,672.40 = 3,873.90 : x
  2. Step 2: Convert to fraction form
    10,447.68/15,672.40 = 3,873.90/x
  3. Step 3: Cross multiply
    10,447.68x = 15,672.40 × 3,873.90
  4. Step 4: Simplify right side
    10,447.68x = 60,713,310.36
  5. Step 5: Solve for x
    x = 60,713,310.36/10,447.68
  6. Step 6: Final answer
    x = 5,811.18

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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.