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Finding the Fourth Proportional to 5,488.40, 8,227.20 and 4,905.20

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Solution

The fourth proportional to 5,488.40, 8,227.20 and 4,905.20 is: 7,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.40 : 8,227.20 = 4,905.20 : x
  2. Step 2: Convert to fraction form
    5,488.40/8,227.20 = 4,905.20/x
  3. Step 3: Cross multiply
    5,488.40x = 8,227.20 × 4,905.20
  4. Step 4: Simplify right side
    5,488.40x = 40,356,061.44
  5. Step 5: Solve for x
    x = 40,356,061.44/5,488.40
  6. Step 6: Final answer
    x = 7,352.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.