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Finding the Fourth Proportional to 31,447.72, 47,168 and 11,726.92

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Solution

The fourth proportional to 31,447.72, 47,168 and 11,726.92 is: 17,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.72 : 47,168 = 11,726.92 : x
  2. Step 2: Convert to fraction form
    31,447.72/47,168 = 11,726.92/x
  3. Step 3: Cross multiply
    31,447.72x = 47,168 × 11,726.92
  4. Step 4: Simplify right side
    31,447.72x = 553,135,362.56
  5. Step 5: Solve for x
    x = 553,135,362.56/31,447.72
  6. Step 6: Final answer
    x = 17,589.05

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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.