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Finding the Fourth Proportional to 3,197.71, 4,412.86 and 1,871.16

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Solution

The fourth proportional to 3,197.71, 4,412.86 and 1,871.16 is: 2,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.71 : 4,412.86 = 1,871.16 : x
  2. Step 2: Convert to fraction form
    3,197.71/4,412.86 = 1,871.16/x
  3. Step 3: Cross multiply
    3,197.71x = 4,412.86 × 1,871.16
  4. Step 4: Simplify right side
    3,197.71x = 8,257,145.89
  5. Step 5: Solve for x
    x = 8,257,145.89/3,197.71
  6. Step 6: Final answer
    x = 2,582.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.