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Finding the Fourth Proportional to 1,758.30, 2,635.82 and 892.41

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Solution

The fourth proportional to 1,758.30, 2,635.82 and 892.41 is: 1,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.30 : 2,635.82 = 892.41 : x
  2. Step 2: Convert to fraction form
    1,758.30/2,635.82 = 892.41/x
  3. Step 3: Cross multiply
    1,758.30x = 2,635.82 × 892.41
  4. Step 4: Simplify right side
    1,758.30x = 2,352,232.13
  5. Step 5: Solve for x
    x = 2,352,232.13/1,758.30
  6. Step 6: Final answer
    x = 1,337.79

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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.