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Finding the Fourth Proportional to 2,169.64, 3,254.62 and 708.84

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Solution

The fourth proportional to 2,169.64, 3,254.62 and 708.84 is: 1,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.64 : 3,254.62 = 708.84 : x
  2. Step 2: Convert to fraction form
    2,169.64/3,254.62 = 708.84/x
  3. Step 3: Cross multiply
    2,169.64x = 3,254.62 × 708.84
  4. Step 4: Simplify right side
    2,169.64x = 2,307,004.84
  5. Step 5: Solve for x
    x = 2,307,004.84/2,169.64
  6. Step 6: Final answer
    x = 1,063.31

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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.