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Finding the Fourth Proportional to 31,906.40, 47,860.08 and 8,532.56

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Solution

The fourth proportional to 31,906.40, 47,860.08 and 8,532.56 is: 12,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.40 : 47,860.08 = 8,532.56 : x
  2. Step 2: Convert to fraction form
    31,906.40/47,860.08 = 8,532.56/x
  3. Step 3: Cross multiply
    31,906.40x = 47,860.08 × 8,532.56
  4. Step 4: Simplify right side
    31,906.40x = 408,369,004.20
  5. Step 5: Solve for x
    x = 408,369,004.20/31,906.40
  6. Step 6: Final answer
    x = 12,798.97

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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.