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Finding the Fourth Proportional to 3,099.70, 4,650.18 and 1,019.80

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Solution

The fourth proportional to 3,099.70, 4,650.18 and 1,019.80 is: 1,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.70 : 4,650.18 = 1,019.80 : x
  2. Step 2: Convert to fraction form
    3,099.70/4,650.18 = 1,019.80/x
  3. Step 3: Cross multiply
    3,099.70x = 4,650.18 × 1,019.80
  4. Step 4: Simplify right side
    3,099.70x = 4,742,253.56
  5. Step 5: Solve for x
    x = 4,742,253.56/3,099.70
  6. Step 6: Final answer
    x = 1,529.91

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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.