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Finding the Fourth Proportional to 8,979, 13,470.68 and 2,823

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Solution

The fourth proportional to 8,979, 13,470.68 and 2,823 is: 4,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,979 : 13,470.68 = 2,823 : x
  2. Step 2: Convert to fraction form
    8,979/13,470.68 = 2,823/x
  3. Step 3: Cross multiply
    8,979x = 13,470.68 × 2,823
  4. Step 4: Simplify right side
    8,979x = 38,027,729.64
  5. Step 5: Solve for x
    x = 38,027,729.64/8,979
  6. Step 6: Final answer
    x = 4,235.19

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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.