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Finding the Fourth Proportional to 1,694.85, 2,340.76 and 1,671.79

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Solution

The fourth proportional to 1,694.85, 2,340.76 and 1,671.79 is: 2,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.85 : 2,340.76 = 1,671.79 : x
  2. Step 2: Convert to fraction form
    1,694.85/2,340.76 = 1,671.79/x
  3. Step 3: Cross multiply
    1,694.85x = 2,340.76 × 1,671.79
  4. Step 4: Simplify right side
    1,694.85x = 3,913,259.16
  5. Step 5: Solve for x
    x = 3,913,259.16/1,694.85
  6. Step 6: Final answer
    x = 2,308.91

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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.