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Finding the Fourth Proportional to 5,584.61, 7,695.64 and 3,986.75

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Solution

The fourth proportional to 5,584.61, 7,695.64 and 3,986.75 is: 5,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.61 : 7,695.64 = 3,986.75 : x
  2. Step 2: Convert to fraction form
    5,584.61/7,695.64 = 3,986.75/x
  3. Step 3: Cross multiply
    5,584.61x = 7,695.64 × 3,986.75
  4. Step 4: Simplify right side
    5,584.61x = 30,680,616.99
  5. Step 5: Solve for x
    x = 30,680,616.99/5,584.61
  6. Step 6: Final answer
    x = 5,493.78

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1.5x scale

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.