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Finding the Fourth Proportional to 2,918.71, 4,027.71 and 1,659.81

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Solution

The fourth proportional to 2,918.71, 4,027.71 and 1,659.81 is: 2,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.71 : 4,027.71 = 1,659.81 : x
  2. Step 2: Convert to fraction form
    2,918.71/4,027.71 = 1,659.81/x
  3. Step 3: Cross multiply
    2,918.71x = 4,027.71 × 1,659.81
  4. Step 4: Simplify right side
    2,918.71x = 6,685,233.34
  5. Step 5: Solve for x
    x = 6,685,233.34/2,918.71
  6. Step 6: Final answer
    x = 2,290.48

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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.