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Finding the Fourth Proportional to 5,521.76, 8,283.84 and 1,625.84

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Solution

The fourth proportional to 5,521.76, 8,283.84 and 1,625.84 is: 2,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521.76 : 8,283.84 = 1,625.84 : x
  2. Step 2: Convert to fraction form
    5,521.76/8,283.84 = 1,625.84/x
  3. Step 3: Cross multiply
    5,521.76x = 8,283.84 × 1,625.84
  4. Step 4: Simplify right side
    5,521.76x = 13,468,198.43
  5. Step 5: Solve for x
    x = 13,468,198.43/5,521.76
  6. Step 6: Final answer
    x = 2,439.11

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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.