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Finding the Fourth Proportional to 2,866, 4,299 and 1,135.84

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Solution

The fourth proportional to 2,866, 4,299 and 1,135.84 is: 1,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866 : 4,299 = 1,135.84 : x
  2. Step 2: Convert to fraction form
    2,866/4,299 = 1,135.84/x
  3. Step 3: Cross multiply
    2,866x = 4,299 × 1,135.84
  4. Step 4: Simplify right side
    2,866x = 4,882,976.16
  5. Step 5: Solve for x
    x = 4,882,976.16/2,866
  6. Step 6: Final answer
    x = 1,703.76

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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.