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Finding the Fourth Proportional to 2,687.88, 3,709.98 and 2,163

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Solution

The fourth proportional to 2,687.88, 3,709.98 and 2,163 is: 2,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.88 : 3,709.98 = 2,163 : x
  2. Step 2: Convert to fraction form
    2,687.88/3,709.98 = 2,163/x
  3. Step 3: Cross multiply
    2,687.88x = 3,709.98 × 2,163
  4. Step 4: Simplify right side
    2,687.88x = 8,024,686.74
  5. Step 5: Solve for x
    x = 8,024,686.74/2,687.88
  6. Step 6: Final answer
    x = 2,985.51

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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.