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Finding the Fourth Proportional to 11,923.72, 17,891.88 and 8,663.76

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Solution

The fourth proportional to 11,923.72, 17,891.88 and 8,663.76 is: 13,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.72 : 17,891.88 = 8,663.76 : x
  2. Step 2: Convert to fraction form
    11,923.72/17,891.88 = 8,663.76/x
  3. Step 3: Cross multiply
    11,923.72x = 17,891.88 × 8,663.76
  4. Step 4: Simplify right side
    11,923.72x = 155,010,954.27
  5. Step 5: Solve for x
    x = 155,010,954.27/11,923.72
  6. Step 6: Final answer
    x = 13,000.22

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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.