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Finding the Fourth Proportional to 3,643.13, 5,465.10 and 1,334.63

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Solution

The fourth proportional to 3,643.13, 5,465.10 and 1,334.63 is: 2,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.13 : 5,465.10 = 1,334.63 : x
  2. Step 2: Convert to fraction form
    3,643.13/5,465.10 = 1,334.63/x
  3. Step 3: Cross multiply
    3,643.13x = 5,465.10 × 1,334.63
  4. Step 4: Simplify right side
    3,643.13x = 7,293,859.09
  5. Step 5: Solve for x
    x = 7,293,859.09/3,643.13
  6. Step 6: Final answer
    x = 2,002.09

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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.