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Finding the Fourth Proportional to 2,751.40, 3,797.38 and 2,047.92

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Solution

The fourth proportional to 2,751.40, 3,797.38 and 2,047.92 is: 2,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.40 : 3,797.38 = 2,047.92 : x
  2. Step 2: Convert to fraction form
    2,751.40/3,797.38 = 2,047.92/x
  3. Step 3: Cross multiply
    2,751.40x = 3,797.38 × 2,047.92
  4. Step 4: Simplify right side
    2,751.40x = 7,776,718.77
  5. Step 5: Solve for x
    x = 7,776,718.77/2,751.40
  6. Step 6: Final answer
    x = 2,826.46

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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.