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Finding the Fourth Proportional to 31,972.21, 47,958.41 and 9,785.50

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Solution

The fourth proportional to 31,972.21, 47,958.41 and 9,785.50 is: 14,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972.21 : 47,958.41 = 9,785.50 : x
  2. Step 2: Convert to fraction form
    31,972.21/47,958.41 = 9,785.50/x
  3. Step 3: Cross multiply
    31,972.21x = 47,958.41 × 9,785.50
  4. Step 4: Simplify right side
    31,972.21x = 469,297,021.06
  5. Step 5: Solve for x
    x = 469,297,021.06/31,972.21
  6. Step 6: Final answer
    x = 14,678.28

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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.