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Finding the Fourth Proportional to 3,099.99, 4,650.14 and 1,019.15

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Solution

The fourth proportional to 3,099.99, 4,650.14 and 1,019.15 is: 1,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.99 : 4,650.14 = 1,019.15 : x
  2. Step 2: Convert to fraction form
    3,099.99/4,650.14 = 1,019.15/x
  3. Step 3: Cross multiply
    3,099.99x = 4,650.14 × 1,019.15
  4. Step 4: Simplify right side
    3,099.99x = 4,739,161.83
  5. Step 5: Solve for x
    x = 4,739,161.83/3,099.99
  6. Step 6: Final answer
    x = 1,528.77

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Double scale
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Similar ratio
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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.