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Finding the Fourth Proportional to 8,679.74, 11,978 and 4,903.68

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Solution

The fourth proportional to 8,679.74, 11,978 and 4,903.68 is: 6,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.74 : 11,978 = 4,903.68 : x
  2. Step 2: Convert to fraction form
    8,679.74/11,978 = 4,903.68/x
  3. Step 3: Cross multiply
    8,679.74x = 11,978 × 4,903.68
  4. Step 4: Simplify right side
    8,679.74x = 58,736,279.04
  5. Step 5: Solve for x
    x = 58,736,279.04/8,679.74
  6. Step 6: Final answer
    x = 6,767.06

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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.