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Finding the Fourth Proportional to 20,885.64, 31,325.28 and 6,845.64

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Solution

The fourth proportional to 20,885.64, 31,325.28 and 6,845.64 is: 10,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.64 : 31,325.28 = 6,845.64 : x
  2. Step 2: Convert to fraction form
    20,885.64/31,325.28 = 6,845.64/x
  3. Step 3: Cross multiply
    20,885.64x = 31,325.28 × 6,845.64
  4. Step 4: Simplify right side
    20,885.64x = 214,441,589.78
  5. Step 5: Solve for x
    x = 214,441,589.78/20,885.64
  6. Step 6: Final answer
    x = 10,267.42

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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.