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Finding the Fourth Proportional to 8,173.77, 12,262.48 and 2,979.65

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Solution

The fourth proportional to 8,173.77, 12,262.48 and 2,979.65 is: 4,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.77 : 12,262.48 = 2,979.65 : x
  2. Step 2: Convert to fraction form
    8,173.77/12,262.48 = 2,979.65/x
  3. Step 3: Cross multiply
    8,173.77x = 12,262.48 × 2,979.65
  4. Step 4: Simplify right side
    8,173.77x = 36,537,822.32
  5. Step 5: Solve for x
    x = 36,537,822.32/8,173.77
  6. Step 6: Final answer
    x = 4,470.13

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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.