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Finding the Fourth Proportional to 2,263.62, 3,392.19 and 1,492.50

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Solution

The fourth proportional to 2,263.62, 3,392.19 and 1,492.50 is: 2,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.62 : 3,392.19 = 1,492.50 : x
  2. Step 2: Convert to fraction form
    2,263.62/3,392.19 = 1,492.50/x
  3. Step 3: Cross multiply
    2,263.62x = 3,392.19 × 1,492.50
  4. Step 4: Simplify right side
    2,263.62x = 5,062,843.58
  5. Step 5: Solve for x
    x = 5,062,843.58/2,263.62
  6. Step 6: Final answer
    x = 2,236.61

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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.