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Finding the Fourth Proportional to 2,219.74, 3,342.86 and 1,934.62

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Solution

The fourth proportional to 2,219.74, 3,342.86 and 1,934.62 is: 2,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.74 : 3,342.86 = 1,934.62 : x
  2. Step 2: Convert to fraction form
    2,219.74/3,342.86 = 1,934.62/x
  3. Step 3: Cross multiply
    2,219.74x = 3,342.86 × 1,934.62
  4. Step 4: Simplify right side
    2,219.74x = 6,467,163.81
  5. Step 5: Solve for x
    x = 6,467,163.81/2,219.74
  6. Step 6: Final answer
    x = 2,913.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.