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Finding the Fourth Proportional to 2,854.32, 3,939.48 and 1,659.47

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Solution

The fourth proportional to 2,854.32, 3,939.48 and 1,659.47 is: 2,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.32 : 3,939.48 = 1,659.47 : x
  2. Step 2: Convert to fraction form
    2,854.32/3,939.48 = 1,659.47/x
  3. Step 3: Cross multiply
    2,854.32x = 3,939.48 × 1,659.47
  4. Step 4: Simplify right side
    2,854.32x = 6,537,458.72
  5. Step 5: Solve for x
    x = 6,537,458.72/2,854.32
  6. Step 6: Final answer
    x = 2,290.37

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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.