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Finding the Fourth Proportional to 2,735.65, 4,102.52 and 787.33

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Solution

The fourth proportional to 2,735.65, 4,102.52 and 787.33 is: 1,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.65 : 4,102.52 = 787.33 : x
  2. Step 2: Convert to fraction form
    2,735.65/4,102.52 = 787.33/x
  3. Step 3: Cross multiply
    2,735.65x = 4,102.52 × 787.33
  4. Step 4: Simplify right side
    2,735.65x = 3,230,033.13
  5. Step 5: Solve for x
    x = 3,230,033.13/2,735.65
  6. Step 6: Final answer
    x = 1,180.72

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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.