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Finding the Fourth Proportional to 31,907.76, 47,863.44 and 9,721.92

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Solution

The fourth proportional to 31,907.76, 47,863.44 and 9,721.92 is: 14,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.76 : 47,863.44 = 9,721.92 : x
  2. Step 2: Convert to fraction form
    31,907.76/47,863.44 = 9,721.92/x
  3. Step 3: Cross multiply
    31,907.76x = 47,863.44 × 9,721.92
  4. Step 4: Simplify right side
    31,907.76x = 465,324,534.60
  5. Step 5: Solve for x
    x = 465,324,534.60/31,907.76
  6. Step 6: Final answer
    x = 14,583.43

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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.