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Finding the Fourth Proportional to 2,797.61, 3,859.94 and 1,734.87

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Solution

The fourth proportional to 2,797.61, 3,859.94 and 1,734.87 is: 2,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.61 : 3,859.94 = 1,734.87 : x
  2. Step 2: Convert to fraction form
    2,797.61/3,859.94 = 1,734.87/x
  3. Step 3: Cross multiply
    2,797.61x = 3,859.94 × 1,734.87
  4. Step 4: Simplify right side
    2,797.61x = 6,696,488.77
  5. Step 5: Solve for x
    x = 6,696,488.77/2,797.61
  6. Step 6: Final answer
    x = 2,393.64

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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.