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Finding the Fourth Proportional to 3,762.12, 5,641.56 and 1,452

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Solution

The fourth proportional to 3,762.12, 5,641.56 and 1,452 is: 2,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.12 : 5,641.56 = 1,452 : x
  2. Step 2: Convert to fraction form
    3,762.12/5,641.56 = 1,452/x
  3. Step 3: Cross multiply
    3,762.12x = 5,641.56 × 1,452
  4. Step 4: Simplify right side
    3,762.12x = 8,191,545.12
  5. Step 5: Solve for x
    x = 8,191,545.12/3,762.12
  6. Step 6: Final answer
    x = 2,177.37

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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.