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Finding the Fourth Proportional to 3,690.54, 5,531.72 and 1,348.63

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Solution

The fourth proportional to 3,690.54, 5,531.72 and 1,348.63 is: 2,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.54 : 5,531.72 = 1,348.63 : x
  2. Step 2: Convert to fraction form
    3,690.54/5,531.72 = 1,348.63/x
  3. Step 3: Cross multiply
    3,690.54x = 5,531.72 × 1,348.63
  4. Step 4: Simplify right side
    3,690.54x = 7,460,222.97
  5. Step 5: Solve for x
    x = 7,460,222.97/3,690.54
  6. Step 6: Final answer
    x = 2,021.44

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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.