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Finding the Fourth Proportional to 22,936.43, 31,649.76 and 12,862.80

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Solution

The fourth proportional to 22,936.43, 31,649.76 and 12,862.80 is: 17,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.43 : 31,649.76 = 12,862.80 : x
  2. Step 2: Convert to fraction form
    22,936.43/31,649.76 = 12,862.80/x
  3. Step 3: Cross multiply
    22,936.43x = 31,649.76 × 12,862.80
  4. Step 4: Simplify right side
    22,936.43x = 407,104,532.93
  5. Step 5: Solve for x
    x = 407,104,532.93/22,936.43
  6. Step 6: Final answer
    x = 17,749.25

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