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Finding the Fourth Proportional to 11,805.65, 17,702.82 and 6,876.69

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Solution

The fourth proportional to 11,805.65, 17,702.82 and 6,876.69 is: 10,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.65 : 17,702.82 = 6,876.69 : x
  2. Step 2: Convert to fraction form
    11,805.65/17,702.82 = 6,876.69/x
  3. Step 3: Cross multiply
    11,805.65x = 17,702.82 × 6,876.69
  4. Step 4: Simplify right side
    11,805.65x = 121,736,805.27
  5. Step 5: Solve for x
    x = 121,736,805.27/11,805.65
  6. Step 6: Final answer
    x = 10,311.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.