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Finding the Fourth Proportional to 20,977.98, 31,472.39 and 7,830.46

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Solution

The fourth proportional to 20,977.98, 31,472.39 and 7,830.46 is: 11,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.98 : 31,472.39 = 7,830.46 : x
  2. Step 2: Convert to fraction form
    20,977.98/31,472.39 = 7,830.46/x
  3. Step 3: Cross multiply
    20,977.98x = 31,472.39 × 7,830.46
  4. Step 4: Simplify right side
    20,977.98x = 246,443,291.00
  5. Step 5: Solve for x
    x = 246,443,291.00/20,977.98
  6. Step 6: Final answer
    x = 11,747.71

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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.