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Finding the Fourth Proportional to 6,563.86, 9,843.28 and 2,815.29

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Solution

The fourth proportional to 6,563.86, 9,843.28 and 2,815.29 is: 4,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.86 : 9,843.28 = 2,815.29 : x
  2. Step 2: Convert to fraction form
    6,563.86/9,843.28 = 2,815.29/x
  3. Step 3: Cross multiply
    6,563.86x = 9,843.28 × 2,815.29
  4. Step 4: Simplify right side
    6,563.86x = 27,711,680.71
  5. Step 5: Solve for x
    x = 27,711,680.71/6,563.86
  6. Step 6: Final answer
    x = 4,221.86

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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.