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Finding the Fourth Proportional to 3,842.16, 5,762 and 1,649.50

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Solution

The fourth proportional to 3,842.16, 5,762 and 1,649.50 is: 2,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.16 : 5,762 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    3,842.16/5,762 = 1,649.50/x
  3. Step 3: Cross multiply
    3,842.16x = 5,762 × 1,649.50
  4. Step 4: Simplify right side
    3,842.16x = 9,504,419
  5. Step 5: Solve for x
    x = 9,504,419/3,842.16
  6. Step 6: Final answer
    x = 2,473.72

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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.