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Finding the Fourth Proportional to 1,988.56, 2,976.68 and 1,693.32

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Solution

The fourth proportional to 1,988.56, 2,976.68 and 1,693.32 is: 2,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.56 : 2,976.68 = 1,693.32 : x
  2. Step 2: Convert to fraction form
    1,988.56/2,976.68 = 1,693.32/x
  3. Step 3: Cross multiply
    1,988.56x = 2,976.68 × 1,693.32
  4. Step 4: Simplify right side
    1,988.56x = 5,040,464.85
  5. Step 5: Solve for x
    x = 5,040,464.85/1,988.56
  6. Step 6: Final answer
    x = 2,534.73

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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.