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Finding the Fourth Proportional to 2,879, 3,973.08 and 1,701.32

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Solution

The fourth proportional to 2,879, 3,973.08 and 1,701.32 is: 2,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879 : 3,973.08 = 1,701.32 : x
  2. Step 2: Convert to fraction form
    2,879/3,973.08 = 1,701.32/x
  3. Step 3: Cross multiply
    2,879x = 3,973.08 × 1,701.32
  4. Step 4: Simplify right side
    2,879x = 6,759,480.47
  5. Step 5: Solve for x
    x = 6,759,480.47/2,879
  6. Step 6: Final answer
    x = 2,347.86

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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.