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Finding the Fourth Proportional to 2,689.96, 3,711.87 and 1,511.02

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Solution

The fourth proportional to 2,689.96, 3,711.87 and 1,511.02 is: 2,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.96 : 3,711.87 = 1,511.02 : x
  2. Step 2: Convert to fraction form
    2,689.96/3,711.87 = 1,511.02/x
  3. Step 3: Cross multiply
    2,689.96x = 3,711.87 × 1,511.02
  4. Step 4: Simplify right side
    2,689.96x = 5,608,709.81
  5. Step 5: Solve for x
    x = 5,608,709.81/2,689.96
  6. Step 6: Final answer
    x = 2,085.05

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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.