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Finding the Fourth Proportional to 10,653.60, 15,982.80 and 6,268.80

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Solution

The fourth proportional to 10,653.60, 15,982.80 and 6,268.80 is: 9,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.60 : 15,982.80 = 6,268.80 : x
  2. Step 2: Convert to fraction form
    10,653.60/15,982.80 = 6,268.80/x
  3. Step 3: Cross multiply
    10,653.60x = 15,982.80 × 6,268.80
  4. Step 4: Simplify right side
    10,653.60x = 100,192,976.64
  5. Step 5: Solve for x
    x = 100,192,976.64/10,653.60
  6. Step 6: Final answer
    x = 9,404.61

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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.