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Finding the Fourth Proportional to 2,891.06, 3,985.49 and 1,894.61

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Solution

The fourth proportional to 2,891.06, 3,985.49 and 1,894.61 is: 2,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.06 : 3,985.49 = 1,894.61 : x
  2. Step 2: Convert to fraction form
    2,891.06/3,985.49 = 1,894.61/x
  3. Step 3: Cross multiply
    2,891.06x = 3,985.49 × 1,894.61
  4. Step 4: Simplify right side
    2,891.06x = 7,550,929.53
  5. Step 5: Solve for x
    x = 7,550,929.53/2,891.06
  6. Step 6: Final answer
    x = 2,611.82

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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.