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Finding the Fourth Proportional to 20,805.65, 31,211.49 and 7,656.92

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Solution

The fourth proportional to 20,805.65, 31,211.49 and 7,656.92 is: 11,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.65 : 31,211.49 = 7,656.92 : x
  2. Step 2: Convert to fraction form
    20,805.65/31,211.49 = 7,656.92/x
  3. Step 3: Cross multiply
    20,805.65x = 31,211.49 × 7,656.92
  4. Step 4: Simplify right side
    20,805.65x = 238,983,725.95
  5. Step 5: Solve for x
    x = 238,983,725.95/20,805.65
  6. Step 6: Final answer
    x = 11,486.48

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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.