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Finding the Fourth Proportional to 11,902.70, 16,425.29 and 6,867.13

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Solution

The fourth proportional to 11,902.70, 16,425.29 and 6,867.13 is: 9,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.70 : 16,425.29 = 6,867.13 : x
  2. Step 2: Convert to fraction form
    11,902.70/16,425.29 = 6,867.13/x
  3. Step 3: Cross multiply
    11,902.70x = 16,425.29 × 6,867.13
  4. Step 4: Simplify right side
    11,902.70x = 112,794,601.72
  5. Step 5: Solve for x
    x = 112,794,601.72/11,902.70
  6. Step 6: Final answer
    x = 9,476.39

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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.