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Finding the Fourth Proportional to 2,746.61, 4,120.32 and 798.56

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Solution

The fourth proportional to 2,746.61, 4,120.32 and 798.56 is: 1,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.61 : 4,120.32 = 798.56 : x
  2. Step 2: Convert to fraction form
    2,746.61/4,120.32 = 798.56/x
  3. Step 3: Cross multiply
    2,746.61x = 4,120.32 × 798.56
  4. Step 4: Simplify right side
    2,746.61x = 3,290,302.14
  5. Step 5: Solve for x
    x = 3,290,302.14/2,746.61
  6. Step 6: Final answer
    x = 1,197.95

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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.