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Finding the Fourth Proportional to 17,667, 26,502.95 and 5,185.28

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Solution

The fourth proportional to 17,667, 26,502.95 and 5,185.28 is: 7,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667 : 26,502.95 = 5,185.28 : x
  2. Step 2: Convert to fraction form
    17,667/26,502.95 = 5,185.28/x
  3. Step 3: Cross multiply
    17,667x = 26,502.95 × 5,185.28
  4. Step 4: Simplify right side
    17,667x = 137,425,058.13
  5. Step 5: Solve for x
    x = 137,425,058.13/17,667
  6. Step 6: Final answer
    x = 7,778.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.