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Finding the Fourth Proportional to 2,801.28, 4,200.84 and 952.08

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Solution

The fourth proportional to 2,801.28, 4,200.84 and 952.08 is: 1,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.28 : 4,200.84 = 952.08 : x
  2. Step 2: Convert to fraction form
    2,801.28/4,200.84 = 952.08/x
  3. Step 3: Cross multiply
    2,801.28x = 4,200.84 × 952.08
  4. Step 4: Simplify right side
    2,801.28x = 3,999,535.75
  5. Step 5: Solve for x
    x = 3,999,535.75/2,801.28
  6. Step 6: Final answer
    x = 1,427.75

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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.