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Finding the Fourth Proportional to 5,314.98, 7,972.15 and 2,028.40

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Solution

The fourth proportional to 5,314.98, 7,972.15 and 2,028.40 is: 3,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.98 : 7,972.15 = 2,028.40 : x
  2. Step 2: Convert to fraction form
    5,314.98/7,972.15 = 2,028.40/x
  3. Step 3: Cross multiply
    5,314.98x = 7,972.15 × 2,028.40
  4. Step 4: Simplify right side
    5,314.98x = 16,170,709.06
  5. Step 5: Solve for x
    x = 16,170,709.06/5,314.98
  6. Step 6: Final answer
    x = 3,042.48

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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.