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Finding the Fourth Proportional to 5,288.28, 7,310.82 and 5,238.46

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Solution

The fourth proportional to 5,288.28, 7,310.82 and 5,238.46 is: 7,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.28 : 7,310.82 = 5,238.46 : x
  2. Step 2: Convert to fraction form
    5,288.28/7,310.82 = 5,238.46/x
  3. Step 3: Cross multiply
    5,288.28x = 7,310.82 × 5,238.46
  4. Step 4: Simplify right side
    5,288.28x = 38,297,438.14
  5. Step 5: Solve for x
    x = 38,297,438.14/5,288.28
  6. Step 6: Final answer
    x = 7,241.95

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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.