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Finding the Fourth Proportional to 22,699.34, 33,999.78 and 10,988

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Solution

The fourth proportional to 22,699.34, 33,999.78 and 10,988 is: 16,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.34 : 33,999.78 = 10,988 : x
  2. Step 2: Convert to fraction form
    22,699.34/33,999.78 = 10,988/x
  3. Step 3: Cross multiply
    22,699.34x = 33,999.78 × 10,988
  4. Step 4: Simplify right side
    22,699.34x = 373,589,582.64
  5. Step 5: Solve for x
    x = 373,589,582.64/22,699.34
  6. Step 6: Final answer
    x = 16,458.17

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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.