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Finding the Fourth Proportional to 2,248.50, 3,102.96 and 1,317

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Solution

The fourth proportional to 2,248.50, 3,102.96 and 1,317 is: 1,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.50 : 3,102.96 = 1,317 : x
  2. Step 2: Convert to fraction form
    2,248.50/3,102.96 = 1,317/x
  3. Step 3: Cross multiply
    2,248.50x = 3,102.96 × 1,317
  4. Step 4: Simplify right side
    2,248.50x = 4,086,598.32
  5. Step 5: Solve for x
    x = 4,086,598.32/2,248.50
  6. Step 6: Final answer
    x = 1,817.48

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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.