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Finding the Fourth Proportional to 4,990, 6,891.96 and 3,415.36

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Solution

The fourth proportional to 4,990, 6,891.96 and 3,415.36 is: 4,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990 : 6,891.96 = 3,415.36 : x
  2. Step 2: Convert to fraction form
    4,990/6,891.96 = 3,415.36/x
  3. Step 3: Cross multiply
    4,990x = 6,891.96 × 3,415.36
  4. Step 4: Simplify right side
    4,990x = 23,538,524.51
  5. Step 5: Solve for x
    x = 23,538,524.51/4,990
  6. Step 6: Final answer
    x = 4,717.14

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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.