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Finding the Fourth Proportional to 21,911.76, 32,853.24 and 7,864.74

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Solution

The fourth proportional to 21,911.76, 32,853.24 and 7,864.74 is: 11,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.76 : 32,853.24 = 7,864.74 : x
  2. Step 2: Convert to fraction form
    21,911.76/32,853.24 = 7,864.74/x
  3. Step 3: Cross multiply
    21,911.76x = 32,853.24 × 7,864.74
  4. Step 4: Simplify right side
    21,911.76x = 258,382,190.76
  5. Step 5: Solve for x
    x = 258,382,190.76/21,911.76
  6. Step 6: Final answer
    x = 11,791.94

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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.