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Finding the Fourth Proportional to 2,543.19, 3,506.54 and 1,976.19

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Solution

The fourth proportional to 2,543.19, 3,506.54 and 1,976.19 is: 2,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.19 : 3,506.54 = 1,976.19 : x
  2. Step 2: Convert to fraction form
    2,543.19/3,506.54 = 1,976.19/x
  3. Step 3: Cross multiply
    2,543.19x = 3,506.54 × 1,976.19
  4. Step 4: Simplify right side
    2,543.19x = 6,929,579.40
  5. Step 5: Solve for x
    x = 6,929,579.40/2,543.19
  6. Step 6: Final answer
    x = 2,724.76

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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.