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Finding the Fourth Proportional to 10,472.78, 14,450.82 and 6,222.27

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Solution

The fourth proportional to 10,472.78, 14,450.82 and 6,222.27 is: 8,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.78 : 14,450.82 = 6,222.27 : x
  2. Step 2: Convert to fraction form
    10,472.78/14,450.82 = 6,222.27/x
  3. Step 3: Cross multiply
    10,472.78x = 14,450.82 × 6,222.27
  4. Step 4: Simplify right side
    10,472.78x = 89,916,901.46
  5. Step 5: Solve for x
    x = 89,916,901.46/10,472.78
  6. Step 6: Final answer
    x = 8,585.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.