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Finding the Fourth Proportional to 2,539.71, 3,808.95 and 808.35

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Solution

The fourth proportional to 2,539.71, 3,808.95 and 808.35 is: 1,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.71 : 3,808.95 = 808.35 : x
  2. Step 2: Convert to fraction form
    2,539.71/3,808.95 = 808.35/x
  3. Step 3: Cross multiply
    2,539.71x = 3,808.95 × 808.35
  4. Step 4: Simplify right side
    2,539.71x = 3,078,964.73
  5. Step 5: Solve for x
    x = 3,078,964.73/2,539.71
  6. Step 6: Final answer
    x = 1,212.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.