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Finding the Fourth Proportional to 3,085.42, 4,627.92 and 1,442.33

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Solution

The fourth proportional to 3,085.42, 4,627.92 and 1,442.33 is: 2,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.42 : 4,627.92 = 1,442.33 : x
  2. Step 2: Convert to fraction form
    3,085.42/4,627.92 = 1,442.33/x
  3. Step 3: Cross multiply
    3,085.42x = 4,627.92 × 1,442.33
  4. Step 4: Simplify right side
    3,085.42x = 6,674,987.85
  5. Step 5: Solve for x
    x = 6,674,987.85/3,085.42
  6. Step 6: Final answer
    x = 2,163.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.