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Finding the Fourth Proportional to 10,419.84, 15,611.51 and 8,676.05

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Solution

The fourth proportional to 10,419.84, 15,611.51 and 8,676.05 is: 12,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.84 : 15,611.51 = 8,676.05 : x
  2. Step 2: Convert to fraction form
    10,419.84/15,611.51 = 8,676.05/x
  3. Step 3: Cross multiply
    10,419.84x = 15,611.51 × 8,676.05
  4. Step 4: Simplify right side
    10,419.84x = 135,446,119.90
  5. Step 5: Solve for x
    x = 135,446,119.90/10,419.84
  6. Step 6: Final answer
    x = 12,998.87

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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.