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Finding the Fourth Proportional to 2,687.14, 4,030.71 and 838.18

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Solution

The fourth proportional to 2,687.14, 4,030.71 and 838.18 is: 1,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.14 : 4,030.71 = 838.18 : x
  2. Step 2: Convert to fraction form
    2,687.14/4,030.71 = 838.18/x
  3. Step 3: Cross multiply
    2,687.14x = 4,030.71 × 838.18
  4. Step 4: Simplify right side
    2,687.14x = 3,378,460.51
  5. Step 5: Solve for x
    x = 3,378,460.51/2,687.14
  6. Step 6: Final answer
    x = 1,257.27

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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.