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Finding the Fourth Proportional to 3,197.88, 4,412.88 and 1,871.82

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Solution

The fourth proportional to 3,197.88, 4,412.88 and 1,871.82 is: 2,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.88 : 4,412.88 = 1,871.82 : x
  2. Step 2: Convert to fraction form
    3,197.88/4,412.88 = 1,871.82/x
  3. Step 3: Cross multiply
    3,197.88x = 4,412.88 × 1,871.82
  4. Step 4: Simplify right side
    3,197.88x = 8,260,117.04
  5. Step 5: Solve for x
    x = 8,260,117.04/3,197.88
  6. Step 6: Final answer
    x = 2,583.00

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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.