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Finding the Fourth Proportional to 2,497.91, 3,447.05 and 1,378.83

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Solution

The fourth proportional to 2,497.91, 3,447.05 and 1,378.83 is: 1,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.91 : 3,447.05 = 1,378.83 : x
  2. Step 2: Convert to fraction form
    2,497.91/3,447.05 = 1,378.83/x
  3. Step 3: Cross multiply
    2,497.91x = 3,447.05 × 1,378.83
  4. Step 4: Simplify right side
    2,497.91x = 4,752,889.06
  5. Step 5: Solve for x
    x = 4,752,889.06/2,497.91
  6. Step 6: Final answer
    x = 1,902.75

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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.