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Finding the Fourth Proportional to 2,447.58, 3,671.37 and 908.22

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Solution

The fourth proportional to 2,447.58, 3,671.37 and 908.22 is: 1,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.58 : 3,671.37 = 908.22 : x
  2. Step 2: Convert to fraction form
    2,447.58/3,671.37 = 908.22/x
  3. Step 3: Cross multiply
    2,447.58x = 3,671.37 × 908.22
  4. Step 4: Simplify right side
    2,447.58x = 3,334,411.66
  5. Step 5: Solve for x
    x = 3,334,411.66/2,447.58
  6. Step 6: Final answer
    x = 1,362.33

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1.5x scale

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.