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Finding the Fourth Proportional to 22,285.14, 30,753.81 and 12,214.50

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Solution

The fourth proportional to 22,285.14, 30,753.81 and 12,214.50 is: 16,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.14 : 30,753.81 = 12,214.50 : x
  2. Step 2: Convert to fraction form
    22,285.14/30,753.81 = 12,214.50/x
  3. Step 3: Cross multiply
    22,285.14x = 30,753.81 × 12,214.50
  4. Step 4: Simplify right side
    22,285.14x = 375,642,412.25
  5. Step 5: Solve for x
    x = 375,642,412.25/22,285.14
  6. Step 6: Final answer
    x = 16,856.18

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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.