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Finding the Fourth Proportional to 2,162.66, 2,984.09 and 1,278.74

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Solution

The fourth proportional to 2,162.66, 2,984.09 and 1,278.74 is: 1,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.66 : 2,984.09 = 1,278.74 : x
  2. Step 2: Convert to fraction form
    2,162.66/2,984.09 = 1,278.74/x
  3. Step 3: Cross multiply
    2,162.66x = 2,984.09 × 1,278.74
  4. Step 4: Simplify right side
    2,162.66x = 3,815,853.93
  5. Step 5: Solve for x
    x = 3,815,853.93/2,162.66
  6. Step 6: Final answer
    x = 1,764.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.