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Finding the Fourth Proportional to 10,872.97, 16,308.54 and 3,475.45

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Solution

The fourth proportional to 10,872.97, 16,308.54 and 3,475.45 is: 5,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.97 : 16,308.54 = 3,475.45 : x
  2. Step 2: Convert to fraction form
    10,872.97/16,308.54 = 3,475.45/x
  3. Step 3: Cross multiply
    10,872.97x = 16,308.54 × 3,475.45
  4. Step 4: Simplify right side
    10,872.97x = 56,679,443.99
  5. Step 5: Solve for x
    x = 56,679,443.99/10,872.97
  6. Step 6: Final answer
    x = 5,212.87

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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.