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Finding the Fourth Proportional to 31,604.88, 47,401.44 and 8,229.84

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Solution

The fourth proportional to 31,604.88, 47,401.44 and 8,229.84 is: 12,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.88 : 47,401.44 = 8,229.84 : x
  2. Step 2: Convert to fraction form
    31,604.88/47,401.44 = 8,229.84/x
  3. Step 3: Cross multiply
    31,604.88x = 47,401.44 × 8,229.84
  4. Step 4: Simplify right side
    31,604.88x = 390,106,266.97
  5. Step 5: Solve for x
    x = 390,106,266.97/31,604.88
  6. Step 6: Final answer
    x = 12,343.23

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1.5x scale

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.