Home / 3,642.64-5,464.12-1,177.52

Finding the Fourth Proportional to 3,642.64, 5,464.12 and 1,177.52

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Solution

The fourth proportional to 3,642.64, 5,464.12 and 1,177.52 is: 1,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.64 : 5,464.12 = 1,177.52 : x
  2. Step 2: Convert to fraction form
    3,642.64/5,464.12 = 1,177.52/x
  3. Step 3: Cross multiply
    3,642.64x = 5,464.12 × 1,177.52
  4. Step 4: Simplify right side
    3,642.64x = 6,434,110.58
  5. Step 5: Solve for x
    x = 6,434,110.58/3,642.64
  6. Step 6: Final answer
    x = 1,766.33

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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.