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Finding the Fourth Proportional to 5,383.12, 8,074.08 and 1,685.08

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Solution

The fourth proportional to 5,383.12, 8,074.08 and 1,685.08 is: 2,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.12 : 8,074.08 = 1,685.08 : x
  2. Step 2: Convert to fraction form
    5,383.12/8,074.08 = 1,685.08/x
  3. Step 3: Cross multiply
    5,383.12x = 8,074.08 × 1,685.08
  4. Step 4: Simplify right side
    5,383.12x = 13,605,470.73
  5. Step 5: Solve for x
    x = 13,605,470.73/5,383.12
  6. Step 6: Final answer
    x = 2,527.43

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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.