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Finding the Fourth Proportional to 2,455.54, 3,682.51 and 811.68

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Solution

The fourth proportional to 2,455.54, 3,682.51 and 811.68 is: 1,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.54 : 3,682.51 = 811.68 : x
  2. Step 2: Convert to fraction form
    2,455.54/3,682.51 = 811.68/x
  3. Step 3: Cross multiply
    2,455.54x = 3,682.51 × 811.68
  4. Step 4: Simplify right side
    2,455.54x = 2,989,019.72
  5. Step 5: Solve for x
    x = 2,989,019.72/2,455.54
  6. Step 6: Final answer
    x = 1,217.26

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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.