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Finding the Fourth Proportional to 7,804.13, 11,704.07 and 3,640.06

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Solution

The fourth proportional to 7,804.13, 11,704.07 and 3,640.06 is: 5,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.13 : 11,704.07 = 3,640.06 : x
  2. Step 2: Convert to fraction form
    7,804.13/11,704.07 = 3,640.06/x
  3. Step 3: Cross multiply
    7,804.13x = 11,704.07 × 3,640.06
  4. Step 4: Simplify right side
    7,804.13x = 42,603,540.77
  5. Step 5: Solve for x
    x = 42,603,540.77/7,804.13
  6. Step 6: Final answer
    x = 5,459.11

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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.