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Finding the Fourth Proportional to 5,685.75, 7,845.12 and 3,447.18

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Solution

The fourth proportional to 5,685.75, 7,845.12 and 3,447.18 is: 4,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.75 : 7,845.12 = 3,447.18 : x
  2. Step 2: Convert to fraction form
    5,685.75/7,845.12 = 3,447.18/x
  3. Step 3: Cross multiply
    5,685.75x = 7,845.12 × 3,447.18
  4. Step 4: Simplify right side
    5,685.75x = 27,043,540.76
  5. Step 5: Solve for x
    x = 27,043,540.76/5,685.75
  6. Step 6: Final answer
    x = 4,756.37

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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.