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Finding the Fourth Proportional to 2,788.66, 3,851.22 and 2,413.84

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Solution

The fourth proportional to 2,788.66, 3,851.22 and 2,413.84 is: 3,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.66 : 3,851.22 = 2,413.84 : x
  2. Step 2: Convert to fraction form
    2,788.66/3,851.22 = 2,413.84/x
  3. Step 3: Cross multiply
    2,788.66x = 3,851.22 × 2,413.84
  4. Step 4: Simplify right side
    2,788.66x = 9,296,228.88
  5. Step 5: Solve for x
    x = 9,296,228.88/2,788.66
  6. Step 6: Final answer
    x = 3,333.58

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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.