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Finding the Fourth Proportional to 2,167.30, 3,251.48 and 628.30

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Solution

The fourth proportional to 2,167.30, 3,251.48 and 628.30 is: 942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.30 : 3,251.48 = 628.30 : x
  2. Step 2: Convert to fraction form
    2,167.30/3,251.48 = 628.30/x
  3. Step 3: Cross multiply
    2,167.30x = 3,251.48 × 628.30
  4. Step 4: Simplify right side
    2,167.30x = 2,042,901.74
  5. Step 5: Solve for x
    x = 2,042,901.74/2,167.30
  6. Step 6: Final answer
    x = 942.60

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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.