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Finding the Fourth Proportional to 31,682, 47,515.44 and 10,622.78

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Solution

The fourth proportional to 31,682, 47,515.44 and 10,622.78 is: 15,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682 : 47,515.44 = 10,622.78 : x
  2. Step 2: Convert to fraction form
    31,682/47,515.44 = 10,622.78/x
  3. Step 3: Cross multiply
    31,682x = 47,515.44 × 10,622.78
  4. Step 4: Simplify right side
    31,682x = 504,746,065.72
  5. Step 5: Solve for x
    x = 504,746,065.72/31,682
  6. Step 6: Final answer
    x = 15,931.64

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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.