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Finding the Fourth Proportional to 2,269.03, 3,402.69 and 787.88

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Solution

The fourth proportional to 2,269.03, 3,402.69 and 787.88 is: 1,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.03 : 3,402.69 = 787.88 : x
  2. Step 2: Convert to fraction form
    2,269.03/3,402.69 = 787.88/x
  3. Step 3: Cross multiply
    2,269.03x = 3,402.69 × 787.88
  4. Step 4: Simplify right side
    2,269.03x = 2,680,911.40
  5. Step 5: Solve for x
    x = 2,680,911.40/2,269.03
  6. Step 6: Final answer
    x = 1,181.52

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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.