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Finding the Fourth Proportional to 11,774.85, 16,249.40 and 6,397.34

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Solution

The fourth proportional to 11,774.85, 16,249.40 and 6,397.34 is: 8,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.85 : 16,249.40 = 6,397.34 : x
  2. Step 2: Convert to fraction form
    11,774.85/16,249.40 = 6,397.34/x
  3. Step 3: Cross multiply
    11,774.85x = 16,249.40 × 6,397.34
  4. Step 4: Simplify right side
    11,774.85x = 103,952,823.36
  5. Step 5: Solve for x
    x = 103,952,823.36/11,774.85
  6. Step 6: Final answer
    x = 8,828.38

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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.