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Finding the Fourth Proportional to 5,367.78, 8,050.74 and 1,419.08

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Solution

The fourth proportional to 5,367.78, 8,050.74 and 1,419.08 is: 2,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.78 : 8,050.74 = 1,419.08 : x
  2. Step 2: Convert to fraction form
    5,367.78/8,050.74 = 1,419.08/x
  3. Step 3: Cross multiply
    5,367.78x = 8,050.74 × 1,419.08
  4. Step 4: Simplify right side
    5,367.78x = 11,424,644.12
  5. Step 5: Solve for x
    x = 11,424,644.12/5,367.78
  6. Step 6: Final answer
    x = 2,128.37

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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.