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Finding the Fourth Proportional to 3,357.69, 4,633.11 and 1,865.61

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Solution

The fourth proportional to 3,357.69, 4,633.11 and 1,865.61 is: 2,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.69 : 4,633.11 = 1,865.61 : x
  2. Step 2: Convert to fraction form
    3,357.69/4,633.11 = 1,865.61/x
  3. Step 3: Cross multiply
    3,357.69x = 4,633.11 × 1,865.61
  4. Step 4: Simplify right side
    3,357.69x = 8,643,576.35
  5. Step 5: Solve for x
    x = 8,643,576.35/3,357.69
  6. Step 6: Final answer
    x = 2,574.26

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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.