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Finding the Fourth Proportional to 3,807.60, 5,255.49 and 3,413.94

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Solution

The fourth proportional to 3,807.60, 5,255.49 and 3,413.94 is: 4,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.60 : 5,255.49 = 3,413.94 : x
  2. Step 2: Convert to fraction form
    3,807.60/5,255.49 = 3,413.94/x
  3. Step 3: Cross multiply
    3,807.60x = 5,255.49 × 3,413.94
  4. Step 4: Simplify right side
    3,807.60x = 17,941,927.53
  5. Step 5: Solve for x
    x = 17,941,927.53/3,807.60
  6. Step 6: Final answer
    x = 4,712.14

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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.