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Finding the Fourth Proportional to 7,918.54, 11,866.86 and 6,876.06

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Solution

The fourth proportional to 7,918.54, 11,866.86 and 6,876.06 is: 10,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.54 : 11,866.86 = 6,876.06 : x
  2. Step 2: Convert to fraction form
    7,918.54/11,866.86 = 6,876.06/x
  3. Step 3: Cross multiply
    7,918.54x = 11,866.86 × 6,876.06
  4. Step 4: Simplify right side
    7,918.54x = 81,597,241.37
  5. Step 5: Solve for x
    x = 81,597,241.37/7,918.54
  6. Step 6: Final answer
    x = 10,304.58

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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.