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Finding the Fourth Proportional to 11,474.76, 15,834.53 and 6,438.51

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Solution

The fourth proportional to 11,474.76, 15,834.53 and 6,438.51 is: 8,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.76 : 15,834.53 = 6,438.51 : x
  2. Step 2: Convert to fraction form
    11,474.76/15,834.53 = 6,438.51/x
  3. Step 3: Cross multiply
    11,474.76x = 15,834.53 × 6,438.51
  4. Step 4: Simplify right side
    11,474.76x = 101,950,747.56
  5. Step 5: Solve for x
    x = 101,950,747.56/11,474.76
  6. Step 6: Final answer
    x = 8,884.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.