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Finding the Fourth Proportional to 3,413.70, 4,709.22 and 2,419.50

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Solution

The fourth proportional to 3,413.70, 4,709.22 and 2,419.50 is: 3,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.70 : 4,709.22 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    3,413.70/4,709.22 = 2,419.50/x
  3. Step 3: Cross multiply
    3,413.70x = 4,709.22 × 2,419.50
  4. Step 4: Simplify right side
    3,413.70x = 11,393,957.79
  5. Step 5: Solve for x
    x = 11,393,957.79/3,413.70
  6. Step 6: Final answer
    x = 3,337.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.