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Finding the Fourth Proportional to 5,874, 8,106.84 and 3,390

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Solution

The fourth proportional to 5,874, 8,106.84 and 3,390 is: 4,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874 : 8,106.84 = 3,390 : x
  2. Step 2: Convert to fraction form
    5,874/8,106.84 = 3,390/x
  3. Step 3: Cross multiply
    5,874x = 8,106.84 × 3,390
  4. Step 4: Simplify right side
    5,874x = 27,482,187.60
  5. Step 5: Solve for x
    x = 27,482,187.60/5,874
  6. Step 6: Final answer
    x = 4,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.