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Finding the Fourth Proportional to 8,783.96, 13,164.08 and 8,223.44

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Solution

The fourth proportional to 8,783.96, 13,164.08 and 8,223.44 is: 12,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.96 : 13,164.08 = 8,223.44 : x
  2. Step 2: Convert to fraction form
    8,783.96/13,164.08 = 8,223.44/x
  3. Step 3: Cross multiply
    8,783.96x = 13,164.08 × 8,223.44
  4. Step 4: Simplify right side
    8,783.96x = 108,254,022.04
  5. Step 5: Solve for x
    x = 108,254,022.04/8,783.96
  6. Step 6: Final answer
    x = 12,324.06

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1.5x scale

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.