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Finding the Fourth Proportional to 3,357.68, 4,633.80 and 1,865.66

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Solution

The fourth proportional to 3,357.68, 4,633.80 and 1,865.66 is: 2,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.68 : 4,633.80 = 1,865.66 : x
  2. Step 2: Convert to fraction form
    3,357.68/4,633.80 = 1,865.66/x
  3. Step 3: Cross multiply
    3,357.68x = 4,633.80 × 1,865.66
  4. Step 4: Simplify right side
    3,357.68x = 8,645,095.31
  5. Step 5: Solve for x
    x = 8,645,095.31/3,357.68
  6. Step 6: Final answer
    x = 2,574.72

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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.