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Finding the Fourth Proportional to 22,300, 30,773.16 and 12,228.20

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Solution

The fourth proportional to 22,300, 30,773.16 and 12,228.20 is: 16,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300 : 30,773.16 = 12,228.20 : x
  2. Step 2: Convert to fraction form
    22,300/30,773.16 = 12,228.20/x
  3. Step 3: Cross multiply
    22,300x = 30,773.16 × 12,228.20
  4. Step 4: Simplify right side
    22,300x = 376,300,355.11
  5. Step 5: Solve for x
    x = 376,300,355.11/22,300
  6. Step 6: Final answer
    x = 16,874.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.