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Finding the Fourth Proportional to 12,279.64, 18,450.67 and 7,839.47

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Solution

The fourth proportional to 12,279.64, 18,450.67 and 7,839.47 is: 11,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.64 : 18,450.67 = 7,839.47 : x
  2. Step 2: Convert to fraction form
    12,279.64/18,450.67 = 7,839.47/x
  3. Step 3: Cross multiply
    12,279.64x = 18,450.67 × 7,839.47
  4. Step 4: Simplify right side
    12,279.64x = 144,643,473.94
  5. Step 5: Solve for x
    x = 144,643,473.94/12,279.64
  6. Step 6: Final answer
    x = 11,779.13

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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.