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Finding the Fourth Proportional to 7,706.61, 11,550.54 and 3,540.81

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Solution

The fourth proportional to 7,706.61, 11,550.54 and 3,540.81 is: 5,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.61 : 11,550.54 = 3,540.81 : x
  2. Step 2: Convert to fraction form
    7,706.61/11,550.54 = 3,540.81/x
  3. Step 3: Cross multiply
    7,706.61x = 11,550.54 × 3,540.81
  4. Step 4: Simplify right side
    7,706.61x = 40,898,267.54
  5. Step 5: Solve for x
    x = 40,898,267.54/7,706.61
  6. Step 6: Final answer
    x = 5,306.91

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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.