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Finding the Fourth Proportional to 1,787.46, 2,679.36 and 814.24

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Solution

The fourth proportional to 1,787.46, 2,679.36 and 814.24 is: 1,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.46 : 2,679.36 = 814.24 : x
  2. Step 2: Convert to fraction form
    1,787.46/2,679.36 = 814.24/x
  3. Step 3: Cross multiply
    1,787.46x = 2,679.36 × 814.24
  4. Step 4: Simplify right side
    1,787.46x = 2,181,642.09
  5. Step 5: Solve for x
    x = 2,181,642.09/1,787.46
  6. Step 6: Final answer
    x = 1,220.53

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1.5x scale

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.