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Finding the Fourth Proportional to 1,988.82, 2,741.40 and 1,568.52

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Solution

The fourth proportional to 1,988.82, 2,741.40 and 1,568.52 is: 2,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.82 : 2,741.40 = 1,568.52 : x
  2. Step 2: Convert to fraction form
    1,988.82/2,741.40 = 1,568.52/x
  3. Step 3: Cross multiply
    1,988.82x = 2,741.40 × 1,568.52
  4. Step 4: Simplify right side
    1,988.82x = 4,299,940.73
  5. Step 5: Solve for x
    x = 4,299,940.73/1,988.82
  6. Step 6: Final answer
    x = 2,162.06

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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.