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Finding the Fourth Proportional to 2,248.38, 3,370.29 and 930.31

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Solution

The fourth proportional to 2,248.38, 3,370.29 and 930.31 is: 1,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.38 : 3,370.29 = 930.31 : x
  2. Step 2: Convert to fraction form
    2,248.38/3,370.29 = 930.31/x
  3. Step 3: Cross multiply
    2,248.38x = 3,370.29 × 930.31
  4. Step 4: Simplify right side
    2,248.38x = 3,135,401.41
  5. Step 5: Solve for x
    x = 3,135,401.41/2,248.38
  6. Step 6: Final answer
    x = 1,394.52

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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.