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Finding the Fourth Proportional to 6,639.94, 9,166.80 and 3,988

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Solution

The fourth proportional to 6,639.94, 9,166.80 and 3,988 is: 5,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.94 : 9,166.80 = 3,988 : x
  2. Step 2: Convert to fraction form
    6,639.94/9,166.80 = 3,988/x
  3. Step 3: Cross multiply
    6,639.94x = 9,166.80 × 3,988
  4. Step 4: Simplify right side
    6,639.94x = 36,557,198.40
  5. Step 5: Solve for x
    x = 36,557,198.40/6,639.94
  6. Step 6: Final answer
    x = 5,505.65

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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.