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Finding the Fourth Proportional to 3,761.68, 5,643.24 and 1,262.20

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Solution

The fourth proportional to 3,761.68, 5,643.24 and 1,262.20 is: 1,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.68 : 5,643.24 = 1,262.20 : x
  2. Step 2: Convert to fraction form
    3,761.68/5,643.24 = 1,262.20/x
  3. Step 3: Cross multiply
    3,761.68x = 5,643.24 × 1,262.20
  4. Step 4: Simplify right side
    3,761.68x = 7,122,897.53
  5. Step 5: Solve for x
    x = 7,122,897.53/3,761.68
  6. Step 6: Final answer
    x = 1,893.54

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1.5x scale

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.