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Finding the Fourth Proportional to 9,769.99, 13,481.78 and 5,521.42

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Solution

The fourth proportional to 9,769.99, 13,481.78 and 5,521.42 is: 7,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.99 : 13,481.78 = 5,521.42 : x
  2. Step 2: Convert to fraction form
    9,769.99/13,481.78 = 5,521.42/x
  3. Step 3: Cross multiply
    9,769.99x = 13,481.78 × 5,521.42
  4. Step 4: Simplify right side
    9,769.99x = 74,438,474.71
  5. Step 5: Solve for x
    x = 74,438,474.71/9,769.99
  6. Step 6: Final answer
    x = 7,619.10

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1.5x scale

Why These Related Problems?

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