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Finding the Fourth Proportional to 8,686, 11,986.80 and 4,960

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Solution

The fourth proportional to 8,686, 11,986.80 and 4,960 is: 6,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 11,986.80 = 4,960 : x
  2. Step 2: Convert to fraction form
    8,686/11,986.80 = 4,960/x
  3. Step 3: Cross multiply
    8,686x = 11,986.80 × 4,960
  4. Step 4: Simplify right side
    8,686x = 59,454,528
  5. Step 5: Solve for x
    x = 59,454,528/8,686
  6. Step 6: Final answer
    x = 6,844.87

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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.