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Finding the Fourth Proportional to 22,250, 30,708.64 and 12,816.96

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Solution

The fourth proportional to 22,250, 30,708.64 and 12,816.96 is: 17,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,250 : 30,708.64 = 12,816.96 : x
  2. Step 2: Convert to fraction form
    22,250/30,708.64 = 12,816.96/x
  3. Step 3: Cross multiply
    22,250x = 30,708.64 × 12,816.96
  4. Step 4: Simplify right side
    22,250x = 393,591,410.53
  5. Step 5: Solve for x
    x = 393,591,410.53/22,250
  6. Step 6: Final answer
    x = 17,689.50

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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.