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Finding the Fourth Proportional to 20,885.82, 31,327.90 and 6,846.90

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Solution

The fourth proportional to 20,885.82, 31,327.90 and 6,846.90 is: 10,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.82 : 31,327.90 = 6,846.90 : x
  2. Step 2: Convert to fraction form
    20,885.82/31,327.90 = 6,846.90/x
  3. Step 3: Cross multiply
    20,885.82x = 31,327.90 × 6,846.90
  4. Step 4: Simplify right side
    20,885.82x = 214,498,998.51
  5. Step 5: Solve for x
    x = 214,498,998.51/20,885.82
  6. Step 6: Final answer
    x = 10,270.08

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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.