Home / 3,023.60-4,533.78-942.72

Finding the Fourth Proportional to 3,023.60, 4,533.78 and 942.72

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Solution

The fourth proportional to 3,023.60, 4,533.78 and 942.72 is: 1,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.60 : 4,533.78 = 942.72 : x
  2. Step 2: Convert to fraction form
    3,023.60/4,533.78 = 942.72/x
  3. Step 3: Cross multiply
    3,023.60x = 4,533.78 × 942.72
  4. Step 4: Simplify right side
    3,023.60x = 4,274,085.08
  5. Step 5: Solve for x
    x = 4,274,085.08/3,023.60
  6. Step 6: Final answer
    x = 1,413.57

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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.