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Finding the Fourth Proportional to 2,099.40, 3,149.10 and 2,077.80

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Solution

The fourth proportional to 2,099.40, 3,149.10 and 2,077.80 is: 3,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.40 : 3,149.10 = 2,077.80 : x
  2. Step 2: Convert to fraction form
    2,099.40/3,149.10 = 2,077.80/x
  3. Step 3: Cross multiply
    2,099.40x = 3,149.10 × 2,077.80
  4. Step 4: Simplify right side
    2,099.40x = 6,543,199.98
  5. Step 5: Solve for x
    x = 6,543,199.98/2,099.40
  6. Step 6: Final answer
    x = 3,116.70

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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.