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Finding the Fourth Proportional to 2,454.57, 3,679.63 and 893.90

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Solution

The fourth proportional to 2,454.57, 3,679.63 and 893.90 is: 1,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.57 : 3,679.63 = 893.90 : x
  2. Step 2: Convert to fraction form
    2,454.57/3,679.63 = 893.90/x
  3. Step 3: Cross multiply
    2,454.57x = 3,679.63 × 893.90
  4. Step 4: Simplify right side
    2,454.57x = 3,289,228.22
  5. Step 5: Solve for x
    x = 3,289,228.22/2,454.57
  6. Step 6: Final answer
    x = 1,340.04

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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.