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Finding the Fourth Proportional to 31,692.75, 47,544.80 and 10,639.65

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Solution

The fourth proportional to 31,692.75, 47,544.80 and 10,639.65 is: 15,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.75 : 47,544.80 = 10,639.65 : x
  2. Step 2: Convert to fraction form
    31,692.75/47,544.80 = 10,639.65/x
  3. Step 3: Cross multiply
    31,692.75x = 47,544.80 × 10,639.65
  4. Step 4: Simplify right side
    31,692.75x = 505,859,978.12
  5. Step 5: Solve for x
    x = 505,859,978.12/31,692.75
  6. Step 6: Final answer
    x = 15,961.38

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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.