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Finding the Fourth Proportional to 3,643.22, 5,465.24 and 1,334.72

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Solution

The fourth proportional to 3,643.22, 5,465.24 and 1,334.72 is: 2,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.22 : 5,465.24 = 1,334.72 : x
  2. Step 2: Convert to fraction form
    3,643.22/5,465.24 = 1,334.72/x
  3. Step 3: Cross multiply
    3,643.22x = 5,465.24 × 1,334.72
  4. Step 4: Simplify right side
    3,643.22x = 7,294,572.12
  5. Step 5: Solve for x
    x = 7,294,572.12/3,643.22
  6. Step 6: Final answer
    x = 2,002.23

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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.