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Finding the Fourth Proportional to 22,571.74, 31,151.55 and 13,146.22

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Solution

The fourth proportional to 22,571.74, 31,151.55 and 13,146.22 is: 18,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.74 : 31,151.55 = 13,146.22 : x
  2. Step 2: Convert to fraction form
    22,571.74/31,151.55 = 13,146.22/x
  3. Step 3: Cross multiply
    22,571.74x = 31,151.55 × 13,146.22
  4. Step 4: Simplify right side
    22,571.74x = 409,525,129.64
  5. Step 5: Solve for x
    x = 409,525,129.64/22,571.74
  6. Step 6: Final answer
    x = 18,143.27

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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.