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Finding the Fourth Proportional to 2,837, 3,914.72 and 1,577.98

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Solution

The fourth proportional to 2,837, 3,914.72 and 1,577.98 is: 2,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837 : 3,914.72 = 1,577.98 : x
  2. Step 2: Convert to fraction form
    2,837/3,914.72 = 1,577.98/x
  3. Step 3: Cross multiply
    2,837x = 3,914.72 × 1,577.98
  4. Step 4: Simplify right side
    2,837x = 6,177,349.87
  5. Step 5: Solve for x
    x = 6,177,349.87/2,837
  6. Step 6: Final answer
    x = 2,177.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.