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Finding the Fourth Proportional to 22,754.12, 31,402.70 and 13,197.56

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Solution

The fourth proportional to 22,754.12, 31,402.70 and 13,197.56 is: 18,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.12 : 31,402.70 = 13,197.56 : x
  2. Step 2: Convert to fraction form
    22,754.12/31,402.70 = 13,197.56/x
  3. Step 3: Cross multiply
    22,754.12x = 31,402.70 × 13,197.56
  4. Step 4: Simplify right side
    22,754.12x = 414,439,017.41
  5. Step 5: Solve for x
    x = 414,439,017.41/22,754.12
  6. Step 6: Final answer
    x = 18,213.80

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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.