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Finding the Fourth Proportional to 9,769.91, 14,654.88 and 6,861.20

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Solution

The fourth proportional to 9,769.91, 14,654.88 and 6,861.20 is: 10,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.91 : 14,654.88 = 6,861.20 : x
  2. Step 2: Convert to fraction form
    9,769.91/14,654.88 = 6,861.20/x
  3. Step 3: Cross multiply
    9,769.91x = 14,654.88 × 6,861.20
  4. Step 4: Simplify right side
    9,769.91x = 100,550,099.29
  5. Step 5: Solve for x
    x = 100,550,099.29/9,769.91
  6. Step 6: Final answer
    x = 10,291.81

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1.5x scale

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.