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Finding the Fourth Proportional to 31,632.59, 47,447.71 and 7,940.30

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Solution

The fourth proportional to 31,632.59, 47,447.71 and 7,940.30 is: 11,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632.59 : 47,447.71 = 7,940.30 : x
  2. Step 2: Convert to fraction form
    31,632.59/47,447.71 = 7,940.30/x
  3. Step 3: Cross multiply
    31,632.59x = 47,447.71 × 7,940.30
  4. Step 4: Simplify right side
    31,632.59x = 376,748,794.62
  5. Step 5: Solve for x
    x = 376,748,794.62/31,632.59
  6. Step 6: Final answer
    x = 11,910.15

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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.