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Finding the Fourth Proportional to 8,321.13, 11,480.43 and 5,931.48

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Solution

The fourth proportional to 8,321.13, 11,480.43 and 5,931.48 is: 8,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.13 : 11,480.43 = 5,931.48 : x
  2. Step 2: Convert to fraction form
    8,321.13/11,480.43 = 5,931.48/x
  3. Step 3: Cross multiply
    8,321.13x = 11,480.43 × 5,931.48
  4. Step 4: Simplify right side
    8,321.13x = 68,095,941.65
  5. Step 5: Solve for x
    x = 68,095,941.65/8,321.13
  6. Step 6: Final answer
    x = 8,183.50

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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.