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Finding the Fourth Proportional to 2,362.40, 3,543.12 and 2,245.31

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Solution

The fourth proportional to 2,362.40, 3,543.12 and 2,245.31 is: 3,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.40 : 3,543.12 = 2,245.31 : x
  2. Step 2: Convert to fraction form
    2,362.40/3,543.12 = 2,245.31/x
  3. Step 3: Cross multiply
    2,362.40x = 3,543.12 × 2,245.31
  4. Step 4: Simplify right side
    2,362.40x = 7,955,385.05
  5. Step 5: Solve for x
    x = 7,955,385.05/2,362.40
  6. Step 6: Final answer
    x = 3,367.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.