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Finding the Fourth Proportional to 11,710.78, 17,566.39 and 4,311.43

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Solution

The fourth proportional to 11,710.78, 17,566.39 and 4,311.43 is: 6,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.78 : 17,566.39 = 4,311.43 : x
  2. Step 2: Convert to fraction form
    11,710.78/17,566.39 = 4,311.43/x
  3. Step 3: Cross multiply
    11,710.78x = 17,566.39 × 4,311.43
  4. Step 4: Simplify right side
    11,710.78x = 75,736,173.01
  5. Step 5: Solve for x
    x = 75,736,173.01/11,710.78
  6. Step 6: Final answer
    x = 6,467.22

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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.