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Finding the Fourth Proportional to 3,744.68, 5,617.74 and 1,436

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Solution

The fourth proportional to 3,744.68, 5,617.74 and 1,436 is: 2,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.68 : 5,617.74 = 1,436 : x
  2. Step 2: Convert to fraction form
    3,744.68/5,617.74 = 1,436/x
  3. Step 3: Cross multiply
    3,744.68x = 5,617.74 × 1,436
  4. Step 4: Simplify right side
    3,744.68x = 8,067,074.64
  5. Step 5: Solve for x
    x = 8,067,074.64/3,744.68
  6. Step 6: Final answer
    x = 2,154.28

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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.