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Finding the Fourth Proportional to 2,689.00, 4,029.95 and 2,513.63

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Solution

The fourth proportional to 2,689.00, 4,029.95 and 2,513.63 is: 3,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.00 : 4,029.95 = 2,513.63 : x
  2. Step 2: Convert to fraction form
    2,689.00/4,029.95 = 2,513.63/x
  3. Step 3: Cross multiply
    2,689.00x = 4,029.95 × 2,513.63
  4. Step 4: Simplify right side
    2,689.00x = 10,129,819.58
  5. Step 5: Solve for x
    x = 10,129,819.58/2,689.00
  6. Step 6: Final answer
    x = 3,767.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.