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Finding the Fourth Proportional to 20,712.74, 31,072.74 and 7,573.76

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Solution

The fourth proportional to 20,712.74, 31,072.74 and 7,573.76 is: 11,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.74 : 31,072.74 = 7,573.76 : x
  2. Step 2: Convert to fraction form
    20,712.74/31,072.74 = 7,573.76/x
  3. Step 3: Cross multiply
    20,712.74x = 31,072.74 × 7,573.76
  4. Step 4: Simplify right side
    20,712.74x = 235,337,475.30
  5. Step 5: Solve for x
    x = 235,337,475.30/20,712.74
  6. Step 6: Final answer
    x = 11,361.97

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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.