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Finding the Fourth Proportional to 11,474.66, 15,834.06 and 6,438.20

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Solution

The fourth proportional to 11,474.66, 15,834.06 and 6,438.20 is: 8,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.66 : 15,834.06 = 6,438.20 : x
  2. Step 2: Convert to fraction form
    11,474.66/15,834.06 = 6,438.20/x
  3. Step 3: Cross multiply
    11,474.66x = 15,834.06 × 6,438.20
  4. Step 4: Simplify right side
    11,474.66x = 101,942,845.09
  5. Step 5: Solve for x
    x = 101,942,845.09/11,474.66
  6. Step 6: Final answer
    x = 8,884.17

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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.