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Finding the Fourth Proportional to 9,229.30, 12,722.92 and 7,341.60

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Solution

The fourth proportional to 9,229.30, 12,722.92 and 7,341.60 is: 10,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.30 : 12,722.92 = 7,341.60 : x
  2. Step 2: Convert to fraction form
    9,229.30/12,722.92 = 7,341.60/x
  3. Step 3: Cross multiply
    9,229.30x = 12,722.92 × 7,341.60
  4. Step 4: Simplify right side
    9,229.30x = 93,406,589.47
  5. Step 5: Solve for x
    x = 93,406,589.47/9,229.30
  6. Step 6: Final answer
    x = 10,120.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.