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Finding the Fourth Proportional to 2,539.39, 3,808.47 and 873.32

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Solution

The fourth proportional to 2,539.39, 3,808.47 and 873.32 is: 1,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.39 : 3,808.47 = 873.32 : x
  2. Step 2: Convert to fraction form
    2,539.39/3,808.47 = 873.32/x
  3. Step 3: Cross multiply
    2,539.39x = 3,808.47 × 873.32
  4. Step 4: Simplify right side
    2,539.39x = 3,326,013.02
  5. Step 5: Solve for x
    x = 3,326,013.02/2,539.39
  6. Step 6: Final answer
    x = 1,309.77

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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.