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Finding the Fourth Proportional to 9,751.62, 13,446.78 and 7,861.20

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Solution

The fourth proportional to 9,751.62, 13,446.78 and 7,861.20 is: 10,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.62 : 13,446.78 = 7,861.20 : x
  2. Step 2: Convert to fraction form
    9,751.62/13,446.78 = 7,861.20/x
  3. Step 3: Cross multiply
    9,751.62x = 13,446.78 × 7,861.20
  4. Step 4: Simplify right side
    9,751.62x = 105,707,826.94
  5. Step 5: Solve for x
    x = 105,707,826.94/9,751.62
  6. Step 6: Final answer
    x = 10,840.03

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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.