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Finding the Fourth Proportional to 10,419.10, 15,610.44 and 8,675.31

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Solution

The fourth proportional to 10,419.10, 15,610.44 and 8,675.31 is: 12,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.10 : 15,610.44 = 8,675.31 : x
  2. Step 2: Convert to fraction form
    10,419.10/15,610.44 = 8,675.31/x
  3. Step 3: Cross multiply
    10,419.10x = 15,610.44 × 8,675.31
  4. Step 4: Simplify right side
    10,419.10x = 135,425,406.24
  5. Step 5: Solve for x
    x = 135,425,406.24/10,419.10
  6. Step 6: Final answer
    x = 12,997.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.