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Finding the Fourth Proportional to 3,159.78, 4,739.39 and 1,079.84

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Solution

The fourth proportional to 3,159.78, 4,739.39 and 1,079.84 is: 1,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.78 : 4,739.39 = 1,079.84 : x
  2. Step 2: Convert to fraction form
    3,159.78/4,739.39 = 1,079.84/x
  3. Step 3: Cross multiply
    3,159.78x = 4,739.39 × 1,079.84
  4. Step 4: Simplify right side
    3,159.78x = 5,117,753.80
  5. Step 5: Solve for x
    x = 5,117,753.80/3,159.78
  6. Step 6: Final answer
    x = 1,619.66

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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.