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Finding the Fourth Proportional to 8,065, 12,090.96 and 2,868.04

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Solution

The fourth proportional to 8,065, 12,090.96 and 2,868.04 is: 4,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065 : 12,090.96 = 2,868.04 : x
  2. Step 2: Convert to fraction form
    8,065/12,090.96 = 2,868.04/x
  3. Step 3: Cross multiply
    8,065x = 12,090.96 × 2,868.04
  4. Step 4: Simplify right side
    8,065x = 34,677,356.92
  5. Step 5: Solve for x
    x = 34,677,356.92/8,065
  6. Step 6: Final answer
    x = 4,299.73

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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.