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Finding the Fourth Proportional to 1,687.77, 2,529.63 and 1,426.95

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Solution

The fourth proportional to 1,687.77, 2,529.63 and 1,426.95 is: 2,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.77 : 2,529.63 = 1,426.95 : x
  2. Step 2: Convert to fraction form
    1,687.77/2,529.63 = 1,426.95/x
  3. Step 3: Cross multiply
    1,687.77x = 2,529.63 × 1,426.95
  4. Step 4: Simplify right side
    1,687.77x = 3,609,655.53
  5. Step 5: Solve for x
    x = 3,609,655.53/1,687.77
  6. Step 6: Final answer
    x = 2,138.71

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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.