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Finding the Fourth Proportional to 31,820.80, 47,658.30 and 31,091.80

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Solution

The fourth proportional to 31,820.80, 47,658.30 and 31,091.80 is: 46,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.80 : 47,658.30 = 31,091.80 : x
  2. Step 2: Convert to fraction form
    31,820.80/47,658.30 = 31,091.80/x
  3. Step 3: Cross multiply
    31,820.80x = 47,658.30 × 31,091.80
  4. Step 4: Simplify right side
    31,820.80x = 1,481,782,331.94
  5. Step 5: Solve for x
    x = 1,481,782,331.94/31,820.80
  6. Step 6: Final answer
    x = 46,566.47

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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.