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Finding the Fourth Proportional to 2,225.75, 3,339.78 and 1,614.50

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Solution

The fourth proportional to 2,225.75, 3,339.78 and 1,614.50 is: 2,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.75 : 3,339.78 = 1,614.50 : x
  2. Step 2: Convert to fraction form
    2,225.75/3,339.78 = 1,614.50/x
  3. Step 3: Cross multiply
    2,225.75x = 3,339.78 × 1,614.50
  4. Step 4: Simplify right side
    2,225.75x = 5,392,055.08
  5. Step 5: Solve for x
    x = 5,392,055.08/2,225.75
  6. Step 6: Final answer
    x = 2,422.58

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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.