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Finding the Fourth Proportional to 20,000.76, 30,005.24 and 6,854.15

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Solution

The fourth proportional to 20,000.76, 30,005.24 and 6,854.15 is: 10,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.76 : 30,005.24 = 6,854.15 : x
  2. Step 2: Convert to fraction form
    20,000.76/30,005.24 = 6,854.15/x
  3. Step 3: Cross multiply
    20,000.76x = 30,005.24 × 6,854.15
  4. Step 4: Simplify right side
    20,000.76x = 205,660,456.49
  5. Step 5: Solve for x
    x = 205,660,456.49/20,000.76
  6. Step 6: Final answer
    x = 10,282.63

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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.