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Finding the Fourth Proportional to 3,607.84, 5,413.79 and 1,660.20

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Solution

The fourth proportional to 3,607.84, 5,413.79 and 1,660.20 is: 2,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.84 : 5,413.79 = 1,660.20 : x
  2. Step 2: Convert to fraction form
    3,607.84/5,413.79 = 1,660.20/x
  3. Step 3: Cross multiply
    3,607.84x = 5,413.79 × 1,660.20
  4. Step 4: Simplify right side
    3,607.84x = 8,987,974.16
  5. Step 5: Solve for x
    x = 8,987,974.16/3,607.84
  6. Step 6: Final answer
    x = 2,491.23

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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.