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Finding the Fourth Proportional to 2,362.49, 3,543.25 and 2,245.40

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Solution

The fourth proportional to 2,362.49, 3,543.25 and 2,245.40 is: 3,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.49 : 3,543.25 = 2,245.40 : x
  2. Step 2: Convert to fraction form
    2,362.49/3,543.25 = 2,245.40/x
  3. Step 3: Cross multiply
    2,362.49x = 3,543.25 × 2,245.40
  4. Step 4: Simplify right side
    2,362.49x = 7,956,013.55
  5. Step 5: Solve for x
    x = 7,956,013.55/2,362.49
  6. Step 6: Final answer
    x = 3,367.64

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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.