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Finding the Fourth Proportional to 7,175.86, 10,764.87 and 2,558.50

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Solution

The fourth proportional to 7,175.86, 10,764.87 and 2,558.50 is: 3,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.86 : 10,764.87 = 2,558.50 : x
  2. Step 2: Convert to fraction form
    7,175.86/10,764.87 = 2,558.50/x
  3. Step 3: Cross multiply
    7,175.86x = 10,764.87 × 2,558.50
  4. Step 4: Simplify right side
    7,175.86x = 27,541,919.90
  5. Step 5: Solve for x
    x = 27,541,919.90/7,175.86
  6. Step 6: Final answer
    x = 3,838.14

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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.