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Finding the Fourth Proportional to 3,894.95, 5,843.00 and 1,555.00

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Solution

The fourth proportional to 3,894.95, 5,843.00 and 1,555.00 is: 2,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.95 : 5,843.00 = 1,555.00 : x
  2. Step 2: Convert to fraction form
    3,894.95/5,843.00 = 1,555.00/x
  3. Step 3: Cross multiply
    3,894.95x = 5,843.00 × 1,555.00
  4. Step 4: Simplify right side
    3,894.95x = 9,085,854.28
  5. Step 5: Solve for x
    x = 9,085,854.28/3,894.95
  6. Step 6: Final answer
    x = 2,332.73

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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.