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Finding the Fourth Proportional to 2,746.42, 4,119.06 and 798.64

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Solution

The fourth proportional to 2,746.42, 4,119.06 and 798.64 is: 1,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.42 : 4,119.06 = 798.64 : x
  2. Step 2: Convert to fraction form
    2,746.42/4,119.06 = 798.64/x
  3. Step 3: Cross multiply
    2,746.42x = 4,119.06 × 798.64
  4. Step 4: Simplify right side
    2,746.42x = 3,289,646.08
  5. Step 5: Solve for x
    x = 3,289,646.08/2,746.42
  6. Step 6: Final answer
    x = 1,197.79

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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.