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Finding the Fourth Proportional to 2,114.06, 3,171.10 and 575.06

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Solution

The fourth proportional to 2,114.06, 3,171.10 and 575.06 is: 862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.06 : 3,171.10 = 575.06 : x
  2. Step 2: Convert to fraction form
    2,114.06/3,171.10 = 575.06/x
  3. Step 3: Cross multiply
    2,114.06x = 3,171.10 × 575.06
  4. Step 4: Simplify right side
    2,114.06x = 1,823,579.26
  5. Step 5: Solve for x
    x = 1,823,579.26/2,114.06
  6. Step 6: Final answer
    x = 862.59

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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.