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Finding the Fourth Proportional to 5,227.28, 7,208.28 and 3,635.76

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Solution

The fourth proportional to 5,227.28, 7,208.28 and 3,635.76 is: 5,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.28 : 7,208.28 = 3,635.76 : x
  2. Step 2: Convert to fraction form
    5,227.28/7,208.28 = 3,635.76/x
  3. Step 3: Cross multiply
    5,227.28x = 7,208.28 × 3,635.76
  4. Step 4: Simplify right side
    5,227.28x = 26,207,576.09
  5. Step 5: Solve for x
    x = 26,207,576.09/5,227.28
  6. Step 6: Final answer
    x = 5,013.62

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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.