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Finding the Fourth Proportional to 3,395.78, 4,686.42 and 1,904

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Solution

The fourth proportional to 3,395.78, 4,686.42 and 1,904 is: 2,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.78 : 4,686.42 = 1,904 : x
  2. Step 2: Convert to fraction form
    3,395.78/4,686.42 = 1,904/x
  3. Step 3: Cross multiply
    3,395.78x = 4,686.42 × 1,904
  4. Step 4: Simplify right side
    3,395.78x = 8,922,943.68
  5. Step 5: Solve for x
    x = 8,922,943.68/3,395.78
  6. Step 6: Final answer
    x = 2,627.66

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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.