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Finding the Fourth Proportional to 7,820.87, 10,789.76 and 4,793.22

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Solution

The fourth proportional to 7,820.87, 10,789.76 and 4,793.22 is: 6,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.87 : 10,789.76 = 4,793.22 : x
  2. Step 2: Convert to fraction form
    7,820.87/10,789.76 = 4,793.22/x
  3. Step 3: Cross multiply
    7,820.87x = 10,789.76 × 4,793.22
  4. Step 4: Simplify right side
    7,820.87x = 51,717,693.43
  5. Step 5: Solve for x
    x = 51,717,693.43/7,820.87
  6. Step 6: Final answer
    x = 6,612.78

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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.