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Finding the Fourth Proportional to 3,871.78, 5,806.18 and 1,649.21

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Solution

The fourth proportional to 3,871.78, 5,806.18 and 1,649.21 is: 2,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.78 : 5,806.18 = 1,649.21 : x
  2. Step 2: Convert to fraction form
    3,871.78/5,806.18 = 1,649.21/x
  3. Step 3: Cross multiply
    3,871.78x = 5,806.18 × 1,649.21
  4. Step 4: Simplify right side
    3,871.78x = 9,575,615.81
  5. Step 5: Solve for x
    x = 9,575,615.81/3,871.78
  6. Step 6: Final answer
    x = 2,473.18

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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.