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Finding the Fourth Proportional to 21,866.09, 32,791.07 and 7,822.31

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Solution

The fourth proportional to 21,866.09, 32,791.07 and 7,822.31 is: 11,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.09 : 32,791.07 = 7,822.31 : x
  2. Step 2: Convert to fraction form
    21,866.09/32,791.07 = 7,822.31/x
  3. Step 3: Cross multiply
    21,866.09x = 32,791.07 × 7,822.31
  4. Step 4: Simplify right side
    21,866.09x = 256,501,711.70
  5. Step 5: Solve for x
    x = 256,501,711.70/21,866.09
  6. Step 6: Final answer
    x = 11,730.57

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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.