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Finding the Fourth Proportional to 9,988, 14,982.72 and 3,832

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Solution

The fourth proportional to 9,988, 14,982.72 and 3,832 is: 5,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 14,982.72 = 3,832 : x
  2. Step 2: Convert to fraction form
    9,988/14,982.72 = 3,832/x
  3. Step 3: Cross multiply
    9,988x = 14,982.72 × 3,832
  4. Step 4: Simplify right side
    9,988x = 57,413,783.04
  5. Step 5: Solve for x
    x = 57,413,783.04/9,988
  6. Step 6: Final answer
    x = 5,748.28

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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.