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Finding the Fourth Proportional to 8,223.32, 11,354.64 and 5,392.64

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Solution

The fourth proportional to 8,223.32, 11,354.64 and 5,392.64 is: 7,446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.32 : 11,354.64 = 5,392.64 : x
  2. Step 2: Convert to fraction form
    8,223.32/11,354.64 = 5,392.64/x
  3. Step 3: Cross multiply
    8,223.32x = 11,354.64 × 5,392.64
  4. Step 4: Simplify right side
    8,223.32x = 61,231,485.85
  5. Step 5: Solve for x
    x = 61,231,485.85/8,223.32
  6. Step 6: Final answer
    x = 7,446.08

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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.