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Finding the Fourth Proportional to 8,076.31, 12,114.46 and 2,530.09

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Solution

The fourth proportional to 8,076.31, 12,114.46 and 2,530.09 is: 3,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.31 : 12,114.46 = 2,530.09 : x
  2. Step 2: Convert to fraction form
    8,076.31/12,114.46 = 2,530.09/x
  3. Step 3: Cross multiply
    8,076.31x = 12,114.46 × 2,530.09
  4. Step 4: Simplify right side
    8,076.31x = 30,650,674.10
  5. Step 5: Solve for x
    x = 30,650,674.10/8,076.31
  6. Step 6: Final answer
    x = 3,795.13

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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.