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Finding the Fourth Proportional to 2,677, 3,690.21 and 2,301.97

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Solution

The fourth proportional to 2,677, 3,690.21 and 2,301.97 is: 3,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677 : 3,690.21 = 2,301.97 : x
  2. Step 2: Convert to fraction form
    2,677/3,690.21 = 2,301.97/x
  3. Step 3: Cross multiply
    2,677x = 3,690.21 × 2,301.97
  4. Step 4: Simplify right side
    2,677x = 8,494,752.71
  5. Step 5: Solve for x
    x = 8,494,752.71/2,677
  6. Step 6: Final answer
    x = 3,173.24

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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.