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Finding the Fourth Proportional to 2,114.28, 3,171.42 and 575.28

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Solution

The fourth proportional to 2,114.28, 3,171.42 and 575.28 is: 862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.28 : 3,171.42 = 575.28 : x
  2. Step 2: Convert to fraction form
    2,114.28/3,171.42 = 575.28/x
  3. Step 3: Cross multiply
    2,114.28x = 3,171.42 × 575.28
  4. Step 4: Simplify right side
    2,114.28x = 1,824,454.50
  5. Step 5: Solve for x
    x = 1,824,454.50/2,114.28
  6. Step 6: Final answer
    x = 862.92

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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.