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Finding the Fourth Proportional to 7,187.56, 10,776.84 and 3,238

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Solution

The fourth proportional to 7,187.56, 10,776.84 and 3,238 is: 4,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.56 : 10,776.84 = 3,238 : x
  2. Step 2: Convert to fraction form
    7,187.56/10,776.84 = 3,238/x
  3. Step 3: Cross multiply
    7,187.56x = 10,776.84 × 3,238
  4. Step 4: Simplify right side
    7,187.56x = 34,895,407.92
  5. Step 5: Solve for x
    x = 34,895,407.92/7,187.56
  6. Step 6: Final answer
    x = 4,854.97

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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.