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Finding the Fourth Proportional to 2,543.80, 3,509.08 and 2,099.11

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Solution

The fourth proportional to 2,543.80, 3,509.08 and 2,099.11 is: 2,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.80 : 3,509.08 = 2,099.11 : x
  2. Step 2: Convert to fraction form
    2,543.80/3,509.08 = 2,099.11/x
  3. Step 3: Cross multiply
    2,543.80x = 3,509.08 × 2,099.11
  4. Step 4: Simplify right side
    2,543.80x = 7,365,944.92
  5. Step 5: Solve for x
    x = 7,365,944.92/2,543.80
  6. Step 6: Final answer
    x = 2,895.65

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Why These Related Problems?

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