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Finding the Fourth Proportional to 22,306.72, 33,448.56 and 9,988

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Solution

The fourth proportional to 22,306.72, 33,448.56 and 9,988 is: 14,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.72 : 33,448.56 = 9,988 : x
  2. Step 2: Convert to fraction form
    22,306.72/33,448.56 = 9,988/x
  3. Step 3: Cross multiply
    22,306.72x = 33,448.56 × 9,988
  4. Step 4: Simplify right side
    22,306.72x = 334,084,217.28
  5. Step 5: Solve for x
    x = 334,084,217.28/22,306.72
  6. Step 6: Final answer
    x = 14,976.84

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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.