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Finding the Fourth Proportional to 22,578, 33,888.87 and 10,899.42

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Solution

The fourth proportional to 22,578, 33,888.87 and 10,899.42 is: 16,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578 : 33,888.87 = 10,899.42 : x
  2. Step 2: Convert to fraction form
    22,578/33,888.87 = 10,899.42/x
  3. Step 3: Cross multiply
    22,578x = 33,888.87 × 10,899.42
  4. Step 4: Simplify right side
    22,578x = 369,369,027.46
  5. Step 5: Solve for x
    x = 369,369,027.46/22,578
  6. Step 6: Final answer
    x = 16,359.69

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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.