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Finding the Fourth Proportional to 20,737.49, 31,096.51 and 7,580.66

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Solution

The fourth proportional to 20,737.49, 31,096.51 and 7,580.66 is: 11,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.49 : 31,096.51 = 7,580.66 : x
  2. Step 2: Convert to fraction form
    20,737.49/31,096.51 = 7,580.66/x
  3. Step 3: Cross multiply
    20,737.49x = 31,096.51 × 7,580.66
  4. Step 4: Simplify right side
    20,737.49x = 235,731,895.06
  5. Step 5: Solve for x
    x = 235,731,895.06/20,737.49
  6. Step 6: Final answer
    x = 11,367.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.