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Finding the Fourth Proportional to 1,882.44, 2,824.86 and 787.56

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Solution

The fourth proportional to 1,882.44, 2,824.86 and 787.56 is: 1,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.44 : 2,824.86 = 787.56 : x
  2. Step 2: Convert to fraction form
    1,882.44/2,824.86 = 787.56/x
  3. Step 3: Cross multiply
    1,882.44x = 2,824.86 × 787.56
  4. Step 4: Simplify right side
    1,882.44x = 2,224,746.74
  5. Step 5: Solve for x
    x = 2,224,746.74/1,882.44
  6. Step 6: Final answer
    x = 1,181.84

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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.