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Finding the Fourth Proportional to 1,988.84, 2,744.15 and 1,202.87

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Solution

The fourth proportional to 1,988.84, 2,744.15 and 1,202.87 is: 1,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.84 : 2,744.15 = 1,202.87 : x
  2. Step 2: Convert to fraction form
    1,988.84/2,744.15 = 1,202.87/x
  3. Step 3: Cross multiply
    1,988.84x = 2,744.15 × 1,202.87
  4. Step 4: Simplify right side
    1,988.84x = 3,300,856.56
  5. Step 5: Solve for x
    x = 3,300,856.56/1,988.84
  6. Step 6: Final answer
    x = 1,659.69

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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.