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Finding the Fourth Proportional to 2,543.59, 3,511.65 and 1,909

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Solution

The fourth proportional to 2,543.59, 3,511.65 and 1,909 is: 2,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.59 : 3,511.65 = 1,909 : x
  2. Step 2: Convert to fraction form
    2,543.59/3,511.65 = 1,909/x
  3. Step 3: Cross multiply
    2,543.59x = 3,511.65 × 1,909
  4. Step 4: Simplify right side
    2,543.59x = 6,703,739.85
  5. Step 5: Solve for x
    x = 6,703,739.85/2,543.59
  6. Step 6: Final answer
    x = 2,635.54

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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.