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Finding the Fourth Proportional to 21,866.88, 32,805.09 and 7,077.29

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Solution

The fourth proportional to 21,866.88, 32,805.09 and 7,077.29 is: 10,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.88 : 32,805.09 = 7,077.29 : x
  2. Step 2: Convert to fraction form
    21,866.88/32,805.09 = 7,077.29/x
  3. Step 3: Cross multiply
    21,866.88x = 32,805.09 × 7,077.29
  4. Step 4: Simplify right side
    21,866.88x = 232,170,971.38
  5. Step 5: Solve for x
    x = 232,170,971.38/21,866.88
  6. Step 6: Final answer
    x = 10,617.47

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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.