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Finding the Fourth Proportional to 8,320, 11,491.36 and 5,520.64

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Solution

The fourth proportional to 8,320, 11,491.36 and 5,520.64 is: 7,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 11,491.36 = 5,520.64 : x
  2. Step 2: Convert to fraction form
    8,320/11,491.36 = 5,520.64/x
  3. Step 3: Cross multiply
    8,320x = 11,491.36 × 5,520.64
  4. Step 4: Simplify right side
    8,320x = 63,439,661.67
  5. Step 5: Solve for x
    x = 63,439,661.67/8,320
  6. Step 6: Final answer
    x = 7,624.96

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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.