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Finding the Fourth Proportional to 5,227.84, 7,213.52 and 3,102.88

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Solution

The fourth proportional to 5,227.84, 7,213.52 and 3,102.88 is: 4,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.84 : 7,213.52 = 3,102.88 : x
  2. Step 2: Convert to fraction form
    5,227.84/7,213.52 = 3,102.88/x
  3. Step 3: Cross multiply
    5,227.84x = 7,213.52 × 3,102.88
  4. Step 4: Simplify right side
    5,227.84x = 22,382,686.94
  5. Step 5: Solve for x
    x = 22,382,686.94/5,227.84
  6. Step 6: Final answer
    x = 4,281.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.