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Finding the Fourth Proportional to 22,298.64, 30,772.49 and 12,228.05

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Solution

The fourth proportional to 22,298.64, 30,772.49 and 12,228.05 is: 16,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.64 : 30,772.49 = 12,228.05 : x
  2. Step 2: Convert to fraction form
    22,298.64/30,772.49 = 12,228.05/x
  3. Step 3: Cross multiply
    22,298.64x = 30,772.49 × 12,228.05
  4. Step 4: Simplify right side
    22,298.64x = 376,287,331.34
  5. Step 5: Solve for x
    x = 376,287,331.34/22,298.64
  6. Step 6: Final answer
    x = 16,874.90

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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.