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Finding the Fourth Proportional to 7,157.58, 10,736.16 and 3,207.90

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Solution

The fourth proportional to 7,157.58, 10,736.16 and 3,207.90 is: 4,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.58 : 10,736.16 = 3,207.90 : x
  2. Step 2: Convert to fraction form
    7,157.58/10,736.16 = 3,207.90/x
  3. Step 3: Cross multiply
    7,157.58x = 10,736.16 × 3,207.90
  4. Step 4: Simplify right side
    7,157.58x = 34,440,527.66
  5. Step 5: Solve for x
    x = 34,440,527.66/7,157.58
  6. Step 6: Final answer
    x = 4,811.76

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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.