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Finding the Fourth Proportional to 2,689.73, 3,711.80 and 1,511

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Solution

The fourth proportional to 2,689.73, 3,711.80 and 1,511 is: 2,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.73 : 3,711.80 = 1,511 : x
  2. Step 2: Convert to fraction form
    2,689.73/3,711.80 = 1,511/x
  3. Step 3: Cross multiply
    2,689.73x = 3,711.80 × 1,511
  4. Step 4: Simplify right side
    2,689.73x = 5,608,522.25
  5. Step 5: Solve for x
    x = 5,608,522.25/2,689.73
  6. Step 6: Final answer
    x = 2,085.16

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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.