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Finding the Fourth Proportional to 2,635.90, 3,953.85 and 787.02

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Solution

The fourth proportional to 2,635.90, 3,953.85 and 787.02 is: 1,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.90 : 3,953.85 = 787.02 : x
  2. Step 2: Convert to fraction form
    2,635.90/3,953.85 = 787.02/x
  3. Step 3: Cross multiply
    2,635.90x = 3,953.85 × 787.02
  4. Step 4: Simplify right side
    2,635.90x = 3,111,759.03
  5. Step 5: Solve for x
    x = 3,111,759.03/2,635.90
  6. Step 6: Final answer
    x = 1,180.53

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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.