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Finding the Fourth Proportional to 20,443.68, 30,665.51 and 6,403.82

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Solution

The fourth proportional to 20,443.68, 30,665.51 and 6,403.82 is: 9,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.68 : 30,665.51 = 6,403.82 : x
  2. Step 2: Convert to fraction form
    20,443.68/30,665.51 = 6,403.82/x
  3. Step 3: Cross multiply
    20,443.68x = 30,665.51 × 6,403.82
  4. Step 4: Simplify right side
    20,443.68x = 196,376,406.25
  5. Step 5: Solve for x
    x = 196,376,406.25/20,443.68
  6. Step 6: Final answer
    x = 9,605.73

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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.