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Finding the Fourth Proportional to 2,745.42, 4,117.86 and 896.19

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Solution

The fourth proportional to 2,745.42, 4,117.86 and 896.19 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.42 : 4,117.86 = 896.19 : x
  2. Step 2: Convert to fraction form
    2,745.42/4,117.86 = 896.19/x
  3. Step 3: Cross multiply
    2,745.42x = 4,117.86 × 896.19
  4. Step 4: Simplify right side
    2,745.42x = 3,690,384.95
  5. Step 5: Solve for x
    x = 3,690,384.95/2,745.42
  6. Step 6: Final answer
    x = 1,344.20

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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.