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Finding the Fourth Proportional to 3,762.50, 5,642.16 and 1,422.11

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Solution

The fourth proportional to 3,762.50, 5,642.16 and 1,422.11 is: 2,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.50 : 5,642.16 = 1,422.11 : x
  2. Step 2: Convert to fraction form
    3,762.50/5,642.16 = 1,422.11/x
  3. Step 3: Cross multiply
    3,762.50x = 5,642.16 × 1,422.11
  4. Step 4: Simplify right side
    3,762.50x = 8,023,743.95
  5. Step 5: Solve for x
    x = 8,023,743.95/3,762.50
  6. Step 6: Final answer
    x = 2,132.56

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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.