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Finding the Fourth Proportional to 2,808.73, 3,875.14 and 1,690.09

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Solution

The fourth proportional to 2,808.73, 3,875.14 and 1,690.09 is: 2,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.73 : 3,875.14 = 1,690.09 : x
  2. Step 2: Convert to fraction form
    2,808.73/3,875.14 = 1,690.09/x
  3. Step 3: Cross multiply
    2,808.73x = 3,875.14 × 1,690.09
  4. Step 4: Simplify right side
    2,808.73x = 6,549,335.36
  5. Step 5: Solve for x
    x = 6,549,335.36/2,808.73
  6. Step 6: Final answer
    x = 2,331.78

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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.