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Finding the Fourth Proportional to 9,022.80, 13,534.20 and 8,043.60

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Solution

The fourth proportional to 9,022.80, 13,534.20 and 8,043.60 is: 12,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.80 : 13,534.20 = 8,043.60 : x
  2. Step 2: Convert to fraction form
    9,022.80/13,534.20 = 8,043.60/x
  3. Step 3: Cross multiply
    9,022.80x = 13,534.20 × 8,043.60
  4. Step 4: Simplify right side
    9,022.80x = 108,863,691.12
  5. Step 5: Solve for x
    x = 108,863,691.12/9,022.80
  6. Step 6: Final answer
    x = 12,065.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.