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Finding the Fourth Proportional to 7,757.40, 11,632.20 and 3,808.92

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Solution

The fourth proportional to 7,757.40, 11,632.20 and 3,808.92 is: 5,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.40 : 11,632.20 = 3,808.92 : x
  2. Step 2: Convert to fraction form
    7,757.40/11,632.20 = 3,808.92/x
  3. Step 3: Cross multiply
    7,757.40x = 11,632.20 × 3,808.92
  4. Step 4: Simplify right side
    7,757.40x = 44,306,119.22
  5. Step 5: Solve for x
    x = 44,306,119.22/7,757.40
  6. Step 6: Final answer
    x = 5,711.47

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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.