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Finding the Fourth Proportional to 22,221.84, 30,652 and 16,905

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Solution

The fourth proportional to 22,221.84, 30,652 and 16,905 is: 23,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.84 : 30,652 = 16,905 : x
  2. Step 2: Convert to fraction form
    22,221.84/30,652 = 16,905/x
  3. Step 3: Cross multiply
    22,221.84x = 30,652 × 16,905
  4. Step 4: Simplify right side
    22,221.84x = 518,172,060
  5. Step 5: Solve for x
    x = 518,172,060/22,221.84
  6. Step 6: Final answer
    x = 23,318.14

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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.