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Finding the Fourth Proportional to 2,992.39, 4,489.31 and 1,018

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Solution

The fourth proportional to 2,992.39, 4,489.31 and 1,018 is: 1,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.39 : 4,489.31 = 1,018 : x
  2. Step 2: Convert to fraction form
    2,992.39/4,489.31 = 1,018/x
  3. Step 3: Cross multiply
    2,992.39x = 4,489.31 × 1,018
  4. Step 4: Simplify right side
    2,992.39x = 4,570,117.58
  5. Step 5: Solve for x
    x = 4,570,117.58/2,992.39
  6. Step 6: Final answer
    x = 1,527.25

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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.