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Finding the Fourth Proportional to 7,781.50, 11,672.26 and 2,309.50

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Solution

The fourth proportional to 7,781.50, 11,672.26 and 2,309.50 is: 3,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.50 : 11,672.26 = 2,309.50 : x
  2. Step 2: Convert to fraction form
    7,781.50/11,672.26 = 2,309.50/x
  3. Step 3: Cross multiply
    7,781.50x = 11,672.26 × 2,309.50
  4. Step 4: Simplify right side
    7,781.50x = 26,957,084.47
  5. Step 5: Solve for x
    x = 26,957,084.47/7,781.50
  6. Step 6: Final answer
    x = 3,464.25

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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.