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Finding the Fourth Proportional to 8,864, 13,296 and 3,020.48

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Solution

The fourth proportional to 8,864, 13,296 and 3,020.48 is: 4,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864 : 13,296 = 3,020.48 : x
  2. Step 2: Convert to fraction form
    8,864/13,296 = 3,020.48/x
  3. Step 3: Cross multiply
    8,864x = 13,296 × 3,020.48
  4. Step 4: Simplify right side
    8,864x = 40,160,302.08
  5. Step 5: Solve for x
    x = 40,160,302.08/8,864
  6. Step 6: Final answer
    x = 4,530.72

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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.