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Finding the Fourth Proportional to 10,756.70, 16,129.65 and 4,906.70

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Solution

The fourth proportional to 10,756.70, 16,129.65 and 4,906.70 is: 7,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.70 : 16,129.65 = 4,906.70 : x
  2. Step 2: Convert to fraction form
    10,756.70/16,129.65 = 4,906.70/x
  3. Step 3: Cross multiply
    10,756.70x = 16,129.65 × 4,906.70
  4. Step 4: Simplify right side
    10,756.70x = 79,143,353.66
  5. Step 5: Solve for x
    x = 79,143,353.66/10,756.70
  6. Step 6: Final answer
    x = 7,357.59

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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.