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Finding the Fourth Proportional to 22,969.68, 31,696.21 and 12,897.33

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Solution

The fourth proportional to 22,969.68, 31,696.21 and 12,897.33 is: 17,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.68 : 31,696.21 = 12,897.33 : x
  2. Step 2: Convert to fraction form
    22,969.68/31,696.21 = 12,897.33/x
  3. Step 3: Cross multiply
    22,969.68x = 31,696.21 × 12,897.33
  4. Step 4: Simplify right side
    22,969.68x = 408,796,480.12
  5. Step 5: Solve for x
    x = 408,796,480.12/22,969.68
  6. Step 6: Final answer
    x = 17,797.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.