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Finding the Fourth Proportional to 4,286.64, 5,922.10 and 3,663.60

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Solution

The fourth proportional to 4,286.64, 5,922.10 and 3,663.60 is: 5,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.64 : 5,922.10 = 3,663.60 : x
  2. Step 2: Convert to fraction form
    4,286.64/5,922.10 = 3,663.60/x
  3. Step 3: Cross multiply
    4,286.64x = 5,922.10 × 3,663.60
  4. Step 4: Simplify right side
    4,286.64x = 21,696,205.56
  5. Step 5: Solve for x
    x = 21,696,205.56/4,286.64
  6. Step 6: Final answer
    x = 5,061.35

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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.