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Finding the Fourth Proportional to 4,991.58, 6,889 and 2,867.77

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Solution

The fourth proportional to 4,991.58, 6,889 and 2,867.77 is: 3,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.58 : 6,889 = 2,867.77 : x
  2. Step 2: Convert to fraction form
    4,991.58/6,889 = 2,867.77/x
  3. Step 3: Cross multiply
    4,991.58x = 6,889 × 2,867.77
  4. Step 4: Simplify right side
    4,991.58x = 19,756,067.53
  5. Step 5: Solve for x
    x = 19,756,067.53/4,991.58
  6. Step 6: Final answer
    x = 3,957.88

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1.5x scale

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.