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Finding the Fourth Proportional to 2,248.40, 3,102.20 and 1,363.88

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Solution

The fourth proportional to 2,248.40, 3,102.20 and 1,363.88 is: 1,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.40 : 3,102.20 = 1,363.88 : x
  2. Step 2: Convert to fraction form
    2,248.40/3,102.20 = 1,363.88/x
  3. Step 3: Cross multiply
    2,248.40x = 3,102.20 × 1,363.88
  4. Step 4: Simplify right side
    2,248.40x = 4,231,028.54
  5. Step 5: Solve for x
    x = 4,231,028.54/2,248.40
  6. Step 6: Final answer
    x = 1,881.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.