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Finding the Fourth Proportional to 2,157.12, 2,976.84 and 1,863.84

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Solution

The fourth proportional to 2,157.12, 2,976.84 and 1,863.84 is: 2,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.12 : 2,976.84 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    2,157.12/2,976.84 = 1,863.84/x
  3. Step 3: Cross multiply
    2,157.12x = 2,976.84 × 1,863.84
  4. Step 4: Simplify right side
    2,157.12x = 5,548,353.47
  5. Step 5: Solve for x
    x = 5,548,353.47/2,157.12
  6. Step 6: Final answer
    x = 2,572.11

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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.