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Finding the Fourth Proportional to 20,885.88, 31,330.26 and 8,406

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Solution

The fourth proportional to 20,885.88, 31,330.26 and 8,406 is: 12,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.88 : 31,330.26 = 8,406 : x
  2. Step 2: Convert to fraction form
    20,885.88/31,330.26 = 8,406/x
  3. Step 3: Cross multiply
    20,885.88x = 31,330.26 × 8,406
  4. Step 4: Simplify right side
    20,885.88x = 263,362,165.56
  5. Step 5: Solve for x
    x = 263,362,165.56/20,885.88
  6. Step 6: Final answer
    x = 12,609.58

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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.