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Finding the Fourth Proportional to 3,168.70, 4,753.05 and 1,869.25

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Solution

The fourth proportional to 3,168.70, 4,753.05 and 1,869.25 is: 2,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.70 : 4,753.05 = 1,869.25 : x
  2. Step 2: Convert to fraction form
    3,168.70/4,753.05 = 1,869.25/x
  3. Step 3: Cross multiply
    3,168.70x = 4,753.05 × 1,869.25
  4. Step 4: Simplify right side
    3,168.70x = 8,884,638.71
  5. Step 5: Solve for x
    x = 8,884,638.71/3,168.70
  6. Step 6: Final answer
    x = 2,803.88

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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.