Home / 1,942-2,913.10-1,843.58

Finding the Fourth Proportional to 1,942, 2,913.10 and 1,843.58

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Solution

The fourth proportional to 1,942, 2,913.10 and 1,843.58 is: 2,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942 : 2,913.10 = 1,843.58 : x
  2. Step 2: Convert to fraction form
    1,942/2,913.10 = 1,843.58/x
  3. Step 3: Cross multiply
    1,942x = 2,913.10 × 1,843.58
  4. Step 4: Simplify right side
    1,942x = 5,370,532.90
  5. Step 5: Solve for x
    x = 5,370,532.90/1,942
  6. Step 6: Final answer
    x = 2,765.46

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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.