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Finding the Fourth Proportional to 2,494.40, 3,443.28 and 1,822.82

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Solution

The fourth proportional to 2,494.40, 3,443.28 and 1,822.82 is: 2,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.40 : 3,443.28 = 1,822.82 : x
  2. Step 2: Convert to fraction form
    2,494.40/3,443.28 = 1,822.82/x
  3. Step 3: Cross multiply
    2,494.40x = 3,443.28 × 1,822.82
  4. Step 4: Simplify right side
    2,494.40x = 6,276,479.65
  5. Step 5: Solve for x
    x = 6,276,479.65/2,494.40
  6. Step 6: Final answer
    x = 2,516.23

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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.