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Finding the Fourth Proportional to 2,543.74, 3,514.37 and 2,405.32

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Solution

The fourth proportional to 2,543.74, 3,514.37 and 2,405.32 is: 3,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.74 : 3,514.37 = 2,405.32 : x
  2. Step 2: Convert to fraction form
    2,543.74/3,514.37 = 2,405.32/x
  3. Step 3: Cross multiply
    2,543.74x = 3,514.37 × 2,405.32
  4. Step 4: Simplify right side
    2,543.74x = 8,453,163.64
  5. Step 5: Solve for x
    x = 8,453,163.64/2,543.74
  6. Step 6: Final answer
    x = 3,323.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.