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Finding the Fourth Proportional to 2,188.87, 3,280.87 and 1,439.84

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Solution

The fourth proportional to 2,188.87, 3,280.87 and 1,439.84 is: 2,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.87 : 3,280.87 = 1,439.84 : x
  2. Step 2: Convert to fraction form
    2,188.87/3,280.87 = 1,439.84/x
  3. Step 3: Cross multiply
    2,188.87x = 3,280.87 × 1,439.84
  4. Step 4: Simplify right side
    2,188.87x = 4,723,927.86
  5. Step 5: Solve for x
    x = 4,723,927.86/2,188.87
  6. Step 6: Final answer
    x = 2,158.16

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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.