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Finding the Fourth Proportional to 3,894.15, 5,837.24 and 1,555.77

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Solution

The fourth proportional to 3,894.15, 5,837.24 and 1,555.77 is: 2,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.15 : 5,837.24 = 1,555.77 : x
  2. Step 2: Convert to fraction form
    3,894.15/5,837.24 = 1,555.77/x
  3. Step 3: Cross multiply
    3,894.15x = 5,837.24 × 1,555.77
  4. Step 4: Simplify right side
    3,894.15x = 9,081,365.91
  5. Step 5: Solve for x
    x = 9,081,365.91/3,894.15
  6. Step 6: Final answer
    x = 2,332.06

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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.