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Finding the Fourth Proportional to 7,738.76, 11,606.76 and 3,521.03

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Solution

The fourth proportional to 7,738.76, 11,606.76 and 3,521.03 is: 5,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.76 : 11,606.76 = 3,521.03 : x
  2. Step 2: Convert to fraction form
    7,738.76/11,606.76 = 3,521.03/x
  3. Step 3: Cross multiply
    7,738.76x = 11,606.76 × 3,521.03
  4. Step 4: Simplify right side
    7,738.76x = 40,867,692.13
  5. Step 5: Solve for x
    x = 40,867,692.13/7,738.76
  6. Step 6: Final answer
    x = 5,280.91

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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.