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Finding the Fourth Proportional to 9,441.66, 13,021.74 and 8,380.20

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Solution

The fourth proportional to 9,441.66, 13,021.74 and 8,380.20 is: 11,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.66 : 13,021.74 = 8,380.20 : x
  2. Step 2: Convert to fraction form
    9,441.66/13,021.74 = 8,380.20/x
  3. Step 3: Cross multiply
    9,441.66x = 13,021.74 × 8,380.20
  4. Step 4: Simplify right side
    9,441.66x = 109,124,785.55
  5. Step 5: Solve for x
    x = 109,124,785.55/9,441.66
  6. Step 6: Final answer
    x = 11,557.80

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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.