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Finding the Fourth Proportional to 5,253, 7,879.50 and 2,175.08

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Solution

The fourth proportional to 5,253, 7,879.50 and 2,175.08 is: 3,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253 : 7,879.50 = 2,175.08 : x
  2. Step 2: Convert to fraction form
    5,253/7,879.50 = 2,175.08/x
  3. Step 3: Cross multiply
    5,253x = 7,879.50 × 2,175.08
  4. Step 4: Simplify right side
    5,253x = 17,138,542.86
  5. Step 5: Solve for x
    x = 17,138,542.86/5,253
  6. Step 6: Final answer
    x = 3,262.62

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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.