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Finding the Fourth Proportional to 1,988.62, 2,747.20 and 1,571.74

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Solution

The fourth proportional to 1,988.62, 2,747.20 and 1,571.74 is: 2,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.62 : 2,747.20 = 1,571.74 : x
  2. Step 2: Convert to fraction form
    1,988.62/2,747.20 = 1,571.74/x
  3. Step 3: Cross multiply
    1,988.62x = 2,747.20 × 1,571.74
  4. Step 4: Simplify right side
    1,988.62x = 4,317,884.13
  5. Step 5: Solve for x
    x = 4,317,884.13/1,988.62
  6. Step 6: Final answer
    x = 2,171.30

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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.