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Finding the Fourth Proportional to 8,586, 11,848.68 and 4,860

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Solution

The fourth proportional to 8,586, 11,848.68 and 4,860 is: 6,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 11,848.68 = 4,860 : x
  2. Step 2: Convert to fraction form
    8,586/11,848.68 = 4,860/x
  3. Step 3: Cross multiply
    8,586x = 11,848.68 × 4,860
  4. Step 4: Simplify right side
    8,586x = 57,584,584.80
  5. Step 5: Solve for x
    x = 57,584,584.80/8,586
  6. Step 6: Final answer
    x = 6,706.80

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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.