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Finding the Fourth Proportional to 3,417.82, 4,716.83 and 1,905.47

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Solution

The fourth proportional to 3,417.82, 4,716.83 and 1,905.47 is: 2,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.82 : 4,716.83 = 1,905.47 : x
  2. Step 2: Convert to fraction form
    3,417.82/4,716.83 = 1,905.47/x
  3. Step 3: Cross multiply
    3,417.82x = 4,716.83 × 1,905.47
  4. Step 4: Simplify right side
    3,417.82x = 8,987,780.32
  5. Step 5: Solve for x
    x = 8,987,780.32/3,417.82
  6. Step 6: Final answer
    x = 2,629.68

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1.5x scale

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.