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Finding the Fourth Proportional to 5,175, 7,141.42 and 2,817.09

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Solution

The fourth proportional to 5,175, 7,141.42 and 2,817.09 is: 3,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175 : 7,141.42 = 2,817.09 : x
  2. Step 2: Convert to fraction form
    5,175/7,141.42 = 2,817.09/x
  3. Step 3: Cross multiply
    5,175x = 7,141.42 × 2,817.09
  4. Step 4: Simplify right side
    5,175x = 20,118,022.87
  5. Step 5: Solve for x
    x = 20,118,022.87/5,175
  6. Step 6: Final answer
    x = 3,887.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.