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Finding the Fourth Proportional to 8,301.60, 11,432.88 and 8,120.16

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Solution

The fourth proportional to 8,301.60, 11,432.88 and 8,120.16 is: 11,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.60 : 11,432.88 = 8,120.16 : x
  2. Step 2: Convert to fraction form
    8,301.60/11,432.88 = 8,120.16/x
  3. Step 3: Cross multiply
    8,301.60x = 11,432.88 × 8,120.16
  4. Step 4: Simplify right side
    8,301.60x = 92,836,814.86
  5. Step 5: Solve for x
    x = 92,836,814.86/8,301.60
  6. Step 6: Final answer
    x = 11,183.00

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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.