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Finding the Fourth Proportional to 2,735.78, 4,102.45 and 787.52

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Solution

The fourth proportional to 2,735.78, 4,102.45 and 787.52 is: 1,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.78 : 4,102.45 = 787.52 : x
  2. Step 2: Convert to fraction form
    2,735.78/4,102.45 = 787.52/x
  3. Step 3: Cross multiply
    2,735.78x = 4,102.45 × 787.52
  4. Step 4: Simplify right side
    2,735.78x = 3,230,769.71
  5. Step 5: Solve for x
    x = 3,230,769.71/2,735.78
  6. Step 6: Final answer
    x = 1,180.93

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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.