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Finding the Fourth Proportional to 2,753.12, 3,800.52 and 1,808.93

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Solution

The fourth proportional to 2,753.12, 3,800.52 and 1,808.93 is: 2,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.12 : 3,800.52 = 1,808.93 : x
  2. Step 2: Convert to fraction form
    2,753.12/3,800.52 = 1,808.93/x
  3. Step 3: Cross multiply
    2,753.12x = 3,800.52 × 1,808.93
  4. Step 4: Simplify right side
    2,753.12x = 6,874,884.14
  5. Step 5: Solve for x
    x = 6,874,884.14/2,753.12
  6. Step 6: Final answer
    x = 2,497.12

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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.