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Finding the Fourth Proportional to 2,543.42, 3,508.62 and 2,193.50

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Solution

The fourth proportional to 2,543.42, 3,508.62 and 2,193.50 is: 3,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.42 : 3,508.62 = 2,193.50 : x
  2. Step 2: Convert to fraction form
    2,543.42/3,508.62 = 2,193.50/x
  3. Step 3: Cross multiply
    2,543.42x = 3,508.62 × 2,193.50
  4. Step 4: Simplify right side
    2,543.42x = 7,696,157.97
  5. Step 5: Solve for x
    x = 7,696,157.97/2,543.42
  6. Step 6: Final answer
    x = 3,025.91

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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.