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Finding the Fourth Proportional to 5,662, 8,487.12 and 2,377.12

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Solution

The fourth proportional to 5,662, 8,487.12 and 2,377.12 is: 3,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662 : 8,487.12 = 2,377.12 : x
  2. Step 2: Convert to fraction form
    5,662/8,487.12 = 2,377.12/x
  3. Step 3: Cross multiply
    5,662x = 8,487.12 × 2,377.12
  4. Step 4: Simplify right side
    5,662x = 20,174,902.69
  5. Step 5: Solve for x
    x = 20,174,902.69/5,662
  6. Step 6: Final answer
    x = 3,563.21

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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.