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Finding the Fourth Proportional to 31,993.50, 47,994.21 and 10,935.66

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Solution

The fourth proportional to 31,993.50, 47,994.21 and 10,935.66 is: 16,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.50 : 47,994.21 = 10,935.66 : x
  2. Step 2: Convert to fraction form
    31,993.50/47,994.21 = 10,935.66/x
  3. Step 3: Cross multiply
    31,993.50x = 47,994.21 × 10,935.66
  4. Step 4: Simplify right side
    31,993.50x = 524,848,362.53
  5. Step 5: Solve for x
    x = 524,848,362.53/31,993.50
  6. Step 6: Final answer
    x = 16,404.84

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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.