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Finding the Fourth Proportional to 10,900.70, 16,353.47 and 3,975.20

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Solution

The fourth proportional to 10,900.70, 16,353.47 and 3,975.20 is: 5,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.70 : 16,353.47 = 3,975.20 : x
  2. Step 2: Convert to fraction form
    10,900.70/16,353.47 = 3,975.20/x
  3. Step 3: Cross multiply
    10,900.70x = 16,353.47 × 3,975.20
  4. Step 4: Simplify right side
    10,900.70x = 65,008,212.30
  5. Step 5: Solve for x
    x = 65,008,212.30/10,900.70
  6. Step 6: Final answer
    x = 5,963.68

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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.