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Finding the Fourth Proportional to 1,253.82, 1,871.74 and 1,089.84

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Solution

The fourth proportional to 1,253.82, 1,871.74 and 1,089.84 is: 1,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.82 : 1,871.74 = 1,089.84 : x
  2. Step 2: Convert to fraction form
    1,253.82/1,871.74 = 1,089.84/x
  3. Step 3: Cross multiply
    1,253.82x = 1,871.74 × 1,089.84
  4. Step 4: Simplify right side
    1,253.82x = 2,039,897.12
  5. Step 5: Solve for x
    x = 2,039,897.12/1,253.82
  6. Step 6: Final answer
    x = 1,626.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.