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Finding the Fourth Proportional to 11,419.80, 15,758.07 and 6,945.96

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Solution

The fourth proportional to 11,419.80, 15,758.07 and 6,945.96 is: 9,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.80 : 15,758.07 = 6,945.96 : x
  2. Step 2: Convert to fraction form
    11,419.80/15,758.07 = 6,945.96/x
  3. Step 3: Cross multiply
    11,419.80x = 15,758.07 × 6,945.96
  4. Step 4: Simplify right side
    11,419.80x = 109,454,923.90
  5. Step 5: Solve for x
    x = 109,454,923.90/11,419.80
  6. Step 6: Final answer
    x = 9,584.66

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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.