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Finding the Fourth Proportional to 7,109.64, 10,670.22 and 3,647.88

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Solution

The fourth proportional to 7,109.64, 10,670.22 and 3,647.88 is: 5,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.64 : 10,670.22 = 3,647.88 : x
  2. Step 2: Convert to fraction form
    7,109.64/10,670.22 = 3,647.88/x
  3. Step 3: Cross multiply
    7,109.64x = 10,670.22 × 3,647.88
  4. Step 4: Simplify right side
    7,109.64x = 38,923,682.13
  5. Step 5: Solve for x
    x = 38,923,682.13/7,109.64
  6. Step 6: Final answer
    x = 5,474.78

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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.