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Finding the Fourth Proportional to 2,027.78, 3,041.70 and 873.50

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Solution

The fourth proportional to 2,027.78, 3,041.70 and 873.50 is: 1,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.78 : 3,041.70 = 873.50 : x
  2. Step 2: Convert to fraction form
    2,027.78/3,041.70 = 873.50/x
  3. Step 3: Cross multiply
    2,027.78x = 3,041.70 × 873.50
  4. Step 4: Simplify right side
    2,027.78x = 2,656,924.95
  5. Step 5: Solve for x
    x = 2,656,924.95/2,027.78
  6. Step 6: Final answer
    x = 1,310.26

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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.