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Finding the Fourth Proportional to 3,842.44, 5,764.38 and 1,650.76

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Solution

The fourth proportional to 3,842.44, 5,764.38 and 1,650.76 is: 2,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 5,764.38 = 1,650.76 : x
  2. Step 2: Convert to fraction form
    3,842.44/5,764.38 = 1,650.76/x
  3. Step 3: Cross multiply
    3,842.44x = 5,764.38 × 1,650.76
  4. Step 4: Simplify right side
    3,842.44x = 9,515,607.93
  5. Step 5: Solve for x
    x = 9,515,607.93/3,842.44
  6. Step 6: Final answer
    x = 2,476.45

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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.