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Finding the Fourth Proportional to 10,690.80, 16,052.40 and 8,228.40

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Solution

The fourth proportional to 10,690.80, 16,052.40 and 8,228.40 is: 12,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.80 : 16,052.40 = 8,228.40 : x
  2. Step 2: Convert to fraction form
    10,690.80/16,052.40 = 8,228.40/x
  3. Step 3: Cross multiply
    10,690.80x = 16,052.40 × 8,228.40
  4. Step 4: Simplify right side
    10,690.80x = 132,085,568.16
  5. Step 5: Solve for x
    x = 132,085,568.16/10,690.80
  6. Step 6: Final answer
    x = 12,355.07

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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.