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Finding the Fourth Proportional to 2,709.95, 4,062.93 and 1,208.33

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Solution

The fourth proportional to 2,709.95, 4,062.93 and 1,208.33 is: 1,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.95 : 4,062.93 = 1,208.33 : x
  2. Step 2: Convert to fraction form
    2,709.95/4,062.93 = 1,208.33/x
  3. Step 3: Cross multiply
    2,709.95x = 4,062.93 × 1,208.33
  4. Step 4: Simplify right side
    2,709.95x = 4,909,336.87
  5. Step 5: Solve for x
    x = 4,909,336.87/2,709.95
  6. Step 6: Final answer
    x = 1,811.60

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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.