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Finding the Fourth Proportional to 11,215, 15,476.70 and 6,247

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Solution

The fourth proportional to 11,215, 15,476.70 and 6,247 is: 8,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215 : 15,476.70 = 6,247 : x
  2. Step 2: Convert to fraction form
    11,215/15,476.70 = 6,247/x
  3. Step 3: Cross multiply
    11,215x = 15,476.70 × 6,247
  4. Step 4: Simplify right side
    11,215x = 96,682,944.90
  5. Step 5: Solve for x
    x = 96,682,944.90/11,215
  6. Step 6: Final answer
    x = 8,620.86

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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.