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Finding the Fourth Proportional to 2,394.78, 3,592.04 and 834.30

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Solution

The fourth proportional to 2,394.78, 3,592.04 and 834.30 is: 1,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.78 : 3,592.04 = 834.30 : x
  2. Step 2: Convert to fraction form
    2,394.78/3,592.04 = 834.30/x
  3. Step 3: Cross multiply
    2,394.78x = 3,592.04 × 834.30
  4. Step 4: Simplify right side
    2,394.78x = 2,996,838.97
  5. Step 5: Solve for x
    x = 2,996,838.97/2,394.78
  6. Step 6: Final answer
    x = 1,251.40

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1.5x scale

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.