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Finding the Fourth Proportional to 2,248.69, 3,373.02 and 787.48

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Solution

The fourth proportional to 2,248.69, 3,373.02 and 787.48 is: 1,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.69 : 3,373.02 = 787.48 : x
  2. Step 2: Convert to fraction form
    2,248.69/3,373.02 = 787.48/x
  3. Step 3: Cross multiply
    2,248.69x = 3,373.02 × 787.48
  4. Step 4: Simplify right side
    2,248.69x = 2,656,185.79
  5. Step 5: Solve for x
    x = 2,656,185.79/2,248.69
  6. Step 6: Final answer
    x = 1,181.21

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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.