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Finding the Fourth Proportional to 8,677.35, 11,976.93 and 7,791.61

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Solution

The fourth proportional to 8,677.35, 11,976.93 and 7,791.61 is: 10,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.35 : 11,976.93 = 7,791.61 : x
  2. Step 2: Convert to fraction form
    8,677.35/11,976.93 = 7,791.61/x
  3. Step 3: Cross multiply
    8,677.35x = 11,976.93 × 7,791.61
  4. Step 4: Simplify right side
    8,677.35x = 93,319,528.60
  5. Step 5: Solve for x
    x = 93,319,528.60/8,677.35
  6. Step 6: Final answer
    x = 10,754.38

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1.5x scale

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.