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Finding the Fourth Proportional to 22,154.78, 33,222.45 and 8,294.06

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Solution

The fourth proportional to 22,154.78, 33,222.45 and 8,294.06 is: 12,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.78 : 33,222.45 = 8,294.06 : x
  2. Step 2: Convert to fraction form
    22,154.78/33,222.45 = 8,294.06/x
  3. Step 3: Cross multiply
    22,154.78x = 33,222.45 × 8,294.06
  4. Step 4: Simplify right side
    22,154.78x = 275,549,107.81
  5. Step 5: Solve for x
    x = 275,549,107.81/22,154.78
  6. Step 6: Final answer
    x = 12,437.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.