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Finding the Fourth Proportional to 10,932.84, 15,082.20 and 6,453.54

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Solution

The fourth proportional to 10,932.84, 15,082.20 and 6,453.54 is: 8,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.84 : 15,082.20 = 6,453.54 : x
  2. Step 2: Convert to fraction form
    10,932.84/15,082.20 = 6,453.54/x
  3. Step 3: Cross multiply
    10,932.84x = 15,082.20 × 6,453.54
  4. Step 4: Simplify right side
    10,932.84x = 97,333,580.99
  5. Step 5: Solve for x
    x = 97,333,580.99/10,932.84
  6. Step 6: Final answer
    x = 8,902.86

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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.