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Finding the Fourth Proportional to 5,487.39, 8,226.95 and 1,787.41

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Solution

The fourth proportional to 5,487.39, 8,226.95 and 1,787.41 is: 2,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.39 : 8,226.95 = 1,787.41 : x
  2. Step 2: Convert to fraction form
    5,487.39/8,226.95 = 1,787.41/x
  3. Step 3: Cross multiply
    5,487.39x = 8,226.95 × 1,787.41
  4. Step 4: Simplify right side
    5,487.39x = 14,704,923.76
  5. Step 5: Solve for x
    x = 14,704,923.76/5,487.39
  6. Step 6: Final answer
    x = 2,679.77

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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.