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Finding the Fourth Proportional to 3,407.70, 5,111.79 and 942.49

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Solution

The fourth proportional to 3,407.70, 5,111.79 and 942.49 is: 1,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.70 : 5,111.79 = 942.49 : x
  2. Step 2: Convert to fraction form
    3,407.70/5,111.79 = 942.49/x
  3. Step 3: Cross multiply
    3,407.70x = 5,111.79 × 942.49
  4. Step 4: Simplify right side
    3,407.70x = 4,817,810.96
  5. Step 5: Solve for x
    x = 4,817,810.96/3,407.70
  6. Step 6: Final answer
    x = 1,413.80

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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.