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Finding the Fourth Proportional to 2,487.45, 3,723.05 and 1,829.15

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Solution

The fourth proportional to 2,487.45, 3,723.05 and 1,829.15 is: 2,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.45 : 3,723.05 = 1,829.15 : x
  2. Step 2: Convert to fraction form
    2,487.45/3,723.05 = 1,829.15/x
  3. Step 3: Cross multiply
    2,487.45x = 3,723.05 × 1,829.15
  4. Step 4: Simplify right side
    2,487.45x = 6,810,016.91
  5. Step 5: Solve for x
    x = 6,810,016.91/2,487.45
  6. Step 6: Final answer
    x = 2,737.75

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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.