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Finding the Fourth Proportional to 21,891.04, 32,828.26 and 7,847.28

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Solution

The fourth proportional to 21,891.04, 32,828.26 and 7,847.28 is: 11,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.04 : 32,828.26 = 7,847.28 : x
  2. Step 2: Convert to fraction form
    21,891.04/32,828.26 = 7,847.28/x
  3. Step 3: Cross multiply
    21,891.04x = 32,828.26 × 7,847.28
  4. Step 4: Simplify right side
    21,891.04x = 257,612,548.13
  5. Step 5: Solve for x
    x = 257,612,548.13/21,891.04
  6. Step 6: Final answer
    x = 11,767.94

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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.