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Finding the Fourth Proportional to 11,750.34, 16,215.79 and 6,715.38

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Solution

The fourth proportional to 11,750.34, 16,215.79 and 6,715.38 is: 9,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.34 : 16,215.79 = 6,715.38 : x
  2. Step 2: Convert to fraction form
    11,750.34/16,215.79 = 6,715.38/x
  3. Step 3: Cross multiply
    11,750.34x = 16,215.79 × 6,715.38
  4. Step 4: Simplify right side
    11,750.34x = 108,895,191.85
  5. Step 5: Solve for x
    x = 108,895,191.85/11,750.34
  6. Step 6: Final answer
    x = 9,267.41

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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.