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Finding the Fourth Proportional to 22,128, 30,537.90 and 16,667.28

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Solution

The fourth proportional to 22,128, 30,537.90 and 16,667.28 is: 23,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128 : 30,537.90 = 16,667.28 : x
  2. Step 2: Convert to fraction form
    22,128/30,537.90 = 16,667.28/x
  3. Step 3: Cross multiply
    22,128x = 30,537.90 × 16,667.28
  4. Step 4: Simplify right side
    22,128x = 508,983,729.91
  5. Step 5: Solve for x
    x = 508,983,729.91/22,128
  6. Step 6: Final answer
    x = 23,001.80

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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.