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Finding the Fourth Proportional to 2,543.01, 3,508.83 and 1,546.56

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Solution

The fourth proportional to 2,543.01, 3,508.83 and 1,546.56 is: 2,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.01 : 3,508.83 = 1,546.56 : x
  2. Step 2: Convert to fraction form
    2,543.01/3,508.83 = 1,546.56/x
  3. Step 3: Cross multiply
    2,543.01x = 3,508.83 × 1,546.56
  4. Step 4: Simplify right side
    2,543.01x = 5,426,616.12
  5. Step 5: Solve for x
    x = 5,426,616.12/2,543.01
  6. Step 6: Final answer
    x = 2,133.93

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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.