Home / 1,941.20-2,912.52-787.76

Finding the Fourth Proportional to 1,941.20, 2,912.52 and 787.76

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Solution

The fourth proportional to 1,941.20, 2,912.52 and 787.76 is: 1,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.20 : 2,912.52 = 787.76 : x
  2. Step 2: Convert to fraction form
    1,941.20/2,912.52 = 787.76/x
  3. Step 3: Cross multiply
    1,941.20x = 2,912.52 × 787.76
  4. Step 4: Simplify right side
    1,941.20x = 2,294,366.76
  5. Step 5: Solve for x
    x = 2,294,366.76/1,941.20
  6. Step 6: Final answer
    x = 1,181.93

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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.