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Finding the Fourth Proportional to 3,099.65, 4,648.26 and 1,019.17

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Solution

The fourth proportional to 3,099.65, 4,648.26 and 1,019.17 is: 1,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.65 : 4,648.26 = 1,019.17 : x
  2. Step 2: Convert to fraction form
    3,099.65/4,648.26 = 1,019.17/x
  3. Step 3: Cross multiply
    3,099.65x = 4,648.26 × 1,019.17
  4. Step 4: Simplify right side
    3,099.65x = 4,737,367.14
  5. Step 5: Solve for x
    x = 4,737,367.14/3,099.65
  6. Step 6: Final answer
    x = 1,528.36

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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.