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Finding the Fourth Proportional to 22,770.40, 34,147.40 and 9,623.80

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Solution

The fourth proportional to 22,770.40, 34,147.40 and 9,623.80 is: 14,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.40 : 34,147.40 = 9,623.80 : x
  2. Step 2: Convert to fraction form
    22,770.40/34,147.40 = 9,623.80/x
  3. Step 3: Cross multiply
    22,770.40x = 34,147.40 × 9,623.80
  4. Step 4: Simplify right side
    22,770.40x = 328,627,748.12
  5. Step 5: Solve for x
    x = 328,627,748.12/22,770.40
  6. Step 6: Final answer
    x = 14,432.23

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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.