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Finding the Fourth Proportional to 2,895.87, 3,995.91 and 1,636.77

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Solution

The fourth proportional to 2,895.87, 3,995.91 and 1,636.77 is: 2,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.87 : 3,995.91 = 1,636.77 : x
  2. Step 2: Convert to fraction form
    2,895.87/3,995.91 = 1,636.77/x
  3. Step 3: Cross multiply
    2,895.87x = 3,995.91 × 1,636.77
  4. Step 4: Simplify right side
    2,895.87x = 6,540,385.61
  5. Step 5: Solve for x
    x = 6,540,385.61/2,895.87
  6. Step 6: Final answer
    x = 2,258.52

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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.