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Finding the Fourth Proportional to 20,497.80, 30,747.82 and 6,458.94

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Solution

The fourth proportional to 20,497.80, 30,747.82 and 6,458.94 is: 9,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.80 : 30,747.82 = 6,458.94 : x
  2. Step 2: Convert to fraction form
    20,497.80/30,747.82 = 6,458.94/x
  3. Step 3: Cross multiply
    20,497.80x = 30,747.82 × 6,458.94
  4. Step 4: Simplify right side
    20,497.80x = 198,598,324.51
  5. Step 5: Solve for x
    x = 198,598,324.51/20,497.80
  6. Step 6: Final answer
    x = 9,688.76

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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.