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Finding the Fourth Proportional to 3,894.65, 5,835.98 and 2,643.61

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Solution

The fourth proportional to 3,894.65, 5,835.98 and 2,643.61 is: 3,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.65 : 5,835.98 = 2,643.61 : x
  2. Step 2: Convert to fraction form
    3,894.65/5,835.98 = 2,643.61/x
  3. Step 3: Cross multiply
    3,894.65x = 5,835.98 × 2,643.61
  4. Step 4: Simplify right side
    3,894.65x = 15,428,055.09
  5. Step 5: Solve for x
    x = 15,428,055.09/3,894.65
  6. Step 6: Final answer
    x = 3,961.35

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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.