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Finding the Fourth Proportional to 2,797.73, 3,861.72 and 1,803

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Solution

The fourth proportional to 2,797.73, 3,861.72 and 1,803 is: 2,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.73 : 3,861.72 = 1,803 : x
  2. Step 2: Convert to fraction form
    2,797.73/3,861.72 = 1,803/x
  3. Step 3: Cross multiply
    2,797.73x = 3,861.72 × 1,803
  4. Step 4: Simplify right side
    2,797.73x = 6,962,681.16
  5. Step 5: Solve for x
    x = 6,962,681.16/2,797.73
  6. Step 6: Final answer
    x = 2,488.69

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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.