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Finding the Fourth Proportional to 7,874.61, 11,777.04 and 7,003.23

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Solution

The fourth proportional to 7,874.61, 11,777.04 and 7,003.23 is: 10,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.61 : 11,777.04 = 7,003.23 : x
  2. Step 2: Convert to fraction form
    7,874.61/11,777.04 = 7,003.23/x
  3. Step 3: Cross multiply
    7,874.61x = 11,777.04 × 7,003.23
  4. Step 4: Simplify right side
    7,874.61x = 82,477,319.84
  5. Step 5: Solve for x
    x = 82,477,319.84/7,874.61
  6. Step 6: Final answer
    x = 10,473.83

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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.