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Finding the Fourth Proportional to 3,763.62, 5,643.78 and 1,165.94

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Solution

The fourth proportional to 3,763.62, 5,643.78 and 1,165.94 is: 1,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.62 : 5,643.78 = 1,165.94 : x
  2. Step 2: Convert to fraction form
    3,763.62/5,643.78 = 1,165.94/x
  3. Step 3: Cross multiply
    3,763.62x = 5,643.78 × 1,165.94
  4. Step 4: Simplify right side
    3,763.62x = 6,580,308.85
  5. Step 5: Solve for x
    x = 6,580,308.85/3,763.62
  6. Step 6: Final answer
    x = 1,748.40

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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.