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Finding the Fourth Proportional to 3,331, 4,596.78 and 1,859

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Solution

The fourth proportional to 3,331, 4,596.78 and 1,859 is: 2,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331 : 4,596.78 = 1,859 : x
  2. Step 2: Convert to fraction form
    3,331/4,596.78 = 1,859/x
  3. Step 3: Cross multiply
    3,331x = 4,596.78 × 1,859
  4. Step 4: Simplify right side
    3,331x = 8,545,414.02
  5. Step 5: Solve for x
    x = 8,545,414.02/3,331
  6. Step 6: Final answer
    x = 2,565.42

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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.