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Finding the Fourth Proportional to 12,281.64, 16,928.43 and 8,691.96

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Solution

The fourth proportional to 12,281.64, 16,928.43 and 8,691.96 is: 11,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.64 : 16,928.43 = 8,691.96 : x
  2. Step 2: Convert to fraction form
    12,281.64/16,928.43 = 8,691.96/x
  3. Step 3: Cross multiply
    12,281.64x = 16,928.43 × 8,691.96
  4. Step 4: Simplify right side
    12,281.64x = 147,141,236.42
  5. Step 5: Solve for x
    x = 147,141,236.42/12,281.64
  6. Step 6: Final answer
    x = 11,980.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.