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Finding the Fourth Proportional to 2,918.34, 4,027.14 and 1,659.22

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Solution

The fourth proportional to 2,918.34, 4,027.14 and 1,659.22 is: 2,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.34 : 4,027.14 = 1,659.22 : x
  2. Step 2: Convert to fraction form
    2,918.34/4,027.14 = 1,659.22/x
  3. Step 3: Cross multiply
    2,918.34x = 4,027.14 × 1,659.22
  4. Step 4: Simplify right side
    2,918.34x = 6,681,891.10
  5. Step 5: Solve for x
    x = 6,681,891.10/2,918.34
  6. Step 6: Final answer
    x = 2,289.62

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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.