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Finding the Fourth Proportional to 22,225.29, 30,671.78 and 13,270.74

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Solution

The fourth proportional to 22,225.29, 30,671.78 and 13,270.74 is: 18,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,225.29 : 30,671.78 = 13,270.74 : x
  2. Step 2: Convert to fraction form
    22,225.29/30,671.78 = 13,270.74/x
  3. Step 3: Cross multiply
    22,225.29x = 30,671.78 × 13,270.74
  4. Step 4: Simplify right side
    22,225.29x = 407,037,151.36
  5. Step 5: Solve for x
    x = 407,037,151.36/22,225.29
  6. Step 6: Final answer
    x = 18,314.14

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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.