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Finding the Fourth Proportional to 3,168.72, 4,744.98 and 1,871.10

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Solution

The fourth proportional to 3,168.72, 4,744.98 and 1,871.10 is: 2,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.72 : 4,744.98 = 1,871.10 : x
  2. Step 2: Convert to fraction form
    3,168.72/4,744.98 = 1,871.10/x
  3. Step 3: Cross multiply
    3,168.72x = 4,744.98 × 1,871.10
  4. Step 4: Simplify right side
    3,168.72x = 8,878,332.08
  5. Step 5: Solve for x
    x = 8,878,332.08/3,168.72
  6. Step 6: Final answer
    x = 2,801.87

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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.