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Finding the Fourth Proportional to 34,721.80, 51,777.80 and 34,406.05

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Solution

The fourth proportional to 34,721.80, 51,777.80 and 34,406.05 is: 51,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,721.80 : 51,777.80 = 34,406.05 : x
  2. Step 2: Convert to fraction form
    34,721.80/51,777.80 = 34,406.05/x
  3. Step 3: Cross multiply
    34,721.80x = 51,777.80 × 34,406.05
  4. Step 4: Simplify right side
    34,721.80x = 1,781,469,575.69
  5. Step 5: Solve for x
    x = 1,781,469,575.69/34,721.80
  6. Step 6: Final answer
    x = 51,306.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.