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Finding the Fourth Proportional to 3,813, 5,258.89 and 2,413.32

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Solution

The fourth proportional to 3,813, 5,258.89 and 2,413.32 is: 3,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813 : 5,258.89 = 2,413.32 : x
  2. Step 2: Convert to fraction form
    3,813/5,258.89 = 2,413.32/x
  3. Step 3: Cross multiply
    3,813x = 5,258.89 × 2,413.32
  4. Step 4: Simplify right side
    3,813x = 12,691,384.41
  5. Step 5: Solve for x
    x = 12,691,384.41/3,813
  6. Step 6: Final answer
    x = 3,328.45

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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.