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Finding the Fourth Proportional to 31,364.46, 47,058.93 and 13,821.93

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Solution

The fourth proportional to 31,364.46, 47,058.93 and 13,821.93 is: 20,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.46 : 47,058.93 = 13,821.93 : x
  2. Step 2: Convert to fraction form
    31,364.46/47,058.93 = 13,821.93/x
  3. Step 3: Cross multiply
    31,364.46x = 47,058.93 × 13,821.93
  4. Step 4: Simplify right side
    31,364.46x = 650,445,236.33
  5. Step 5: Solve for x
    x = 650,445,236.33/31,364.46
  6. Step 6: Final answer
    x = 20,738.29

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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.