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Finding the Fourth Proportional to 10,516.86, 15,771.87 and 3,494.99

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Solution

The fourth proportional to 10,516.86, 15,771.87 and 3,494.99 is: 5,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.86 : 15,771.87 = 3,494.99 : x
  2. Step 2: Convert to fraction form
    10,516.86/15,771.87 = 3,494.99/x
  3. Step 3: Cross multiply
    10,516.86x = 15,771.87 × 3,494.99
  4. Step 4: Simplify right side
    10,516.86x = 55,122,449.07
  5. Step 5: Solve for x
    x = 55,122,449.07/10,516.86
  6. Step 6: Final answer
    x = 5,241.34

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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.