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Finding the Fourth Proportional to 31,886.83, 47,822.94 and 9,391.69

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Solution

The fourth proportional to 31,886.83, 47,822.94 and 9,391.69 is: 14,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.83 : 47,822.94 = 9,391.69 : x
  2. Step 2: Convert to fraction form
    31,886.83/47,822.94 = 9,391.69/x
  3. Step 3: Cross multiply
    31,886.83x = 47,822.94 × 9,391.69
  4. Step 4: Simplify right side
    31,886.83x = 449,138,227.37
  5. Step 5: Solve for x
    x = 449,138,227.37/31,886.83
  6. Step 6: Final answer
    x = 14,085.38

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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.