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Finding the Fourth Proportional to 3,386, 5,078.97 and 920.81

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Solution

The fourth proportional to 3,386, 5,078.97 and 920.81 is: 1,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386 : 5,078.97 = 920.81 : x
  2. Step 2: Convert to fraction form
    3,386/5,078.97 = 920.81/x
  3. Step 3: Cross multiply
    3,386x = 5,078.97 × 920.81
  4. Step 4: Simplify right side
    3,386x = 4,676,766.37
  5. Step 5: Solve for x
    x = 4,676,766.37/3,386
  6. Step 6: Final answer
    x = 1,381.21

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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.