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Finding the Fourth Proportional to 3,544, 4,892.16 and 2,302.72

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Solution

The fourth proportional to 3,544, 4,892.16 and 2,302.72 is: 3,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544 : 4,892.16 = 2,302.72 : x
  2. Step 2: Convert to fraction form
    3,544/4,892.16 = 2,302.72/x
  3. Step 3: Cross multiply
    3,544x = 4,892.16 × 2,302.72
  4. Step 4: Simplify right side
    3,544x = 11,265,274.68
  5. Step 5: Solve for x
    x = 11,265,274.68/3,544
  6. Step 6: Final answer
    x = 3,178.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.