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Finding the Fourth Proportional to 11,761.40, 17,670.90 and 8,845.40

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Solution

The fourth proportional to 11,761.40, 17,670.90 and 8,845.40 is: 13,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.40 : 17,670.90 = 8,845.40 : x
  2. Step 2: Convert to fraction form
    11,761.40/17,670.90 = 8,845.40/x
  3. Step 3: Cross multiply
    11,761.40x = 17,670.90 × 8,845.40
  4. Step 4: Simplify right side
    11,761.40x = 156,306,178.86
  5. Step 5: Solve for x
    x = 156,306,178.86/11,761.40
  6. Step 6: Final answer
    x = 13,289.76

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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.