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Finding the Fourth Proportional to 3,250.78, 4,876.14 and 942.28

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Solution

The fourth proportional to 3,250.78, 4,876.14 and 942.28 is: 1,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.78 : 4,876.14 = 942.28 : x
  2. Step 2: Convert to fraction form
    3,250.78/4,876.14 = 942.28/x
  3. Step 3: Cross multiply
    3,250.78x = 4,876.14 × 942.28
  4. Step 4: Simplify right side
    3,250.78x = 4,594,689.20
  5. Step 5: Solve for x
    x = 4,594,689.20/3,250.78
  6. Step 6: Final answer
    x = 1,413.41

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1.5x scale

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.