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Finding the Fourth Proportional to 5,885, 8,824.44 and 1,988

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Solution

The fourth proportional to 5,885, 8,824.44 and 1,988 is: 2,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885 : 8,824.44 = 1,988 : x
  2. Step 2: Convert to fraction form
    5,885/8,824.44 = 1,988/x
  3. Step 3: Cross multiply
    5,885x = 8,824.44 × 1,988
  4. Step 4: Simplify right side
    5,885x = 17,542,986.72
  5. Step 5: Solve for x
    x = 17,542,986.72/5,885
  6. Step 6: Final answer
    x = 2,980.97

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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.