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Finding the Fourth Proportional to 2,188.80, 3,280.20 and 1,406.40

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Solution

The fourth proportional to 2,188.80, 3,280.20 and 1,406.40 is: 2,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.80 : 3,280.20 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    2,188.80/3,280.20 = 1,406.40/x
  3. Step 3: Cross multiply
    2,188.80x = 3,280.20 × 1,406.40
  4. Step 4: Simplify right side
    2,188.80x = 4,613,273.28
  5. Step 5: Solve for x
    x = 4,613,273.28/2,188.80
  6. Step 6: Final answer
    x = 2,107.67

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1.5x scale

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.