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Finding the Fourth Proportional to 21,899.14, 32,864.56 and 8,755.28

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Solution

The fourth proportional to 21,899.14, 32,864.56 and 8,755.28 is: 13,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.14 : 32,864.56 = 8,755.28 : x
  2. Step 2: Convert to fraction form
    21,899.14/32,864.56 = 8,755.28/x
  3. Step 3: Cross multiply
    21,899.14x = 32,864.56 × 8,755.28
  4. Step 4: Simplify right side
    21,899.14x = 287,738,424.88
  5. Step 5: Solve for x
    x = 287,738,424.88/21,899.14
  6. Step 6: Final answer
    x = 13,139.26

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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.