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Finding the Fourth Proportional to 2,983.16, 4,474.94 and 903

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Solution

The fourth proportional to 2,983.16, 4,474.94 and 903 is: 1,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.16 : 4,474.94 = 903 : x
  2. Step 2: Convert to fraction form
    2,983.16/4,474.94 = 903/x
  3. Step 3: Cross multiply
    2,983.16x = 4,474.94 × 903
  4. Step 4: Simplify right side
    2,983.16x = 4,040,870.82
  5. Step 5: Solve for x
    x = 4,040,870.82/2,983.16
  6. Step 6: Final answer
    x = 1,354.56

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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.