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Finding the Fourth Proportional to 8,704.80, 12,009.36 and 6,823.68

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Solution

The fourth proportional to 8,704.80, 12,009.36 and 6,823.68 is: 9,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.80 : 12,009.36 = 6,823.68 : x
  2. Step 2: Convert to fraction form
    8,704.80/12,009.36 = 6,823.68/x
  3. Step 3: Cross multiply
    8,704.80x = 12,009.36 × 6,823.68
  4. Step 4: Simplify right side
    8,704.80x = 81,948,029.64
  5. Step 5: Solve for x
    x = 81,948,029.64/8,704.80
  6. Step 6: Final answer
    x = 9,414.12

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1.5x scale

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.