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Finding the Fourth Proportional to 3,386, 5,079 and 1,077.68

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Solution

The fourth proportional to 3,386, 5,079 and 1,077.68 is: 1,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386 : 5,079 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    3,386/5,079 = 1,077.68/x
  3. Step 3: Cross multiply
    3,386x = 5,079 × 1,077.68
  4. Step 4: Simplify right side
    3,386x = 5,473,536.72
  5. Step 5: Solve for x
    x = 5,473,536.72/3,386
  6. Step 6: Final answer
    x = 1,616.52

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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.