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Finding the Fourth Proportional to 2,687.72, 3,710.48 and 1,625.67

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Solution

The fourth proportional to 2,687.72, 3,710.48 and 1,625.67 is: 2,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.72 : 3,710.48 = 1,625.67 : x
  2. Step 2: Convert to fraction form
    2,687.72/3,710.48 = 1,625.67/x
  3. Step 3: Cross multiply
    2,687.72x = 3,710.48 × 1,625.67
  4. Step 4: Simplify right side
    2,687.72x = 6,032,007.89
  5. Step 5: Solve for x
    x = 6,032,007.89/2,687.72
  6. Step 6: Final answer
    x = 2,244.29

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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.