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Finding the Fourth Proportional to 2,188.49, 3,019.19 and 2,038.23

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Solution

The fourth proportional to 2,188.49, 3,019.19 and 2,038.23 is: 2,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.49 : 3,019.19 = 2,038.23 : x
  2. Step 2: Convert to fraction form
    2,188.49/3,019.19 = 2,038.23/x
  3. Step 3: Cross multiply
    2,188.49x = 3,019.19 × 2,038.23
  4. Step 4: Simplify right side
    2,188.49x = 6,153,793.44
  5. Step 5: Solve for x
    x = 6,153,793.44/2,188.49
  6. Step 6: Final answer
    x = 2,811.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.