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Finding the Fourth Proportional to 3,643.64, 5,465.46 and 1,452.86

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Solution

The fourth proportional to 3,643.64, 5,465.46 and 1,452.86 is: 2,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.64 : 5,465.46 = 1,452.86 : x
  2. Step 2: Convert to fraction form
    3,643.64/5,465.46 = 1,452.86/x
  3. Step 3: Cross multiply
    3,643.64x = 5,465.46 × 1,452.86
  4. Step 4: Simplify right side
    3,643.64x = 7,940,548.22
  5. Step 5: Solve for x
    x = 7,940,548.22/3,643.64
  6. Step 6: Final answer
    x = 2,179.29

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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.