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Finding the Fourth Proportional to 31,424.80, 47,137.14 and 8,051.20

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Solution

The fourth proportional to 31,424.80, 47,137.14 and 8,051.20 is: 12,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.80 : 47,137.14 = 8,051.20 : x
  2. Step 2: Convert to fraction form
    31,424.80/47,137.14 = 8,051.20/x
  3. Step 3: Cross multiply
    31,424.80x = 47,137.14 × 8,051.20
  4. Step 4: Simplify right side
    31,424.80x = 379,510,541.57
  5. Step 5: Solve for x
    x = 379,510,541.57/31,424.80
  6. Step 6: Final answer
    x = 12,076.78

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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.