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Finding the Fourth Proportional to 3,605.43, 5,408.82 and 1,140.62

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Solution

The fourth proportional to 3,605.43, 5,408.82 and 1,140.62 is: 1,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.43 : 5,408.82 = 1,140.62 : x
  2. Step 2: Convert to fraction form
    3,605.43/5,408.82 = 1,140.62/x
  3. Step 3: Cross multiply
    3,605.43x = 5,408.82 × 1,140.62
  4. Step 4: Simplify right side
    3,605.43x = 6,169,381.22
  5. Step 5: Solve for x
    x = 6,169,381.22/3,605.43
  6. Step 6: Final answer
    x = 1,711.13

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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.