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Finding the Fourth Proportional to 22,140.26, 30,553.70 and 13,188.14

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Solution

The fourth proportional to 22,140.26, 30,553.70 and 13,188.14 is: 18,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140.26 : 30,553.70 = 13,188.14 : x
  2. Step 2: Convert to fraction form
    22,140.26/30,553.70 = 13,188.14/x
  3. Step 3: Cross multiply
    22,140.26x = 30,553.70 × 13,188.14
  4. Step 4: Simplify right side
    22,140.26x = 402,946,254.41
  5. Step 5: Solve for x
    x = 402,946,254.41/22,140.26
  6. Step 6: Final answer
    x = 18,199.71

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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.