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Finding the Fourth Proportional to 7,769.70, 11,643.03 and 5,707.62

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Solution

The fourth proportional to 7,769.70, 11,643.03 and 5,707.62 is: 8,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.70 : 11,643.03 = 5,707.62 : x
  2. Step 2: Convert to fraction form
    7,769.70/11,643.03 = 5,707.62/x
  3. Step 3: Cross multiply
    7,769.70x = 11,643.03 × 5,707.62
  4. Step 4: Simplify right side
    7,769.70x = 66,453,990.89
  5. Step 5: Solve for x
    x = 66,453,990.89/7,769.70
  6. Step 6: Final answer
    x = 8,552.97

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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.