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Finding the Fourth Proportional to 2,737.38, 3,776.28 and 1,991

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Solution

The fourth proportional to 2,737.38, 3,776.28 and 1,991 is: 2,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.38 : 3,776.28 = 1,991 : x
  2. Step 2: Convert to fraction form
    2,737.38/3,776.28 = 1,991/x
  3. Step 3: Cross multiply
    2,737.38x = 3,776.28 × 1,991
  4. Step 4: Simplify right side
    2,737.38x = 7,518,573.48
  5. Step 5: Solve for x
    x = 7,518,573.48/2,737.38
  6. Step 6: Final answer
    x = 2,746.63

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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.