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Finding the Fourth Proportional to 2,793.90, 3,852.42 and 1,784.25

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Solution

The fourth proportional to 2,793.90, 3,852.42 and 1,784.25 is: 2,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.90 : 3,852.42 = 1,784.25 : x
  2. Step 2: Convert to fraction form
    2,793.90/3,852.42 = 1,784.25/x
  3. Step 3: Cross multiply
    2,793.90x = 3,852.42 × 1,784.25
  4. Step 4: Simplify right side
    2,793.90x = 6,873,680.39
  5. Step 5: Solve for x
    x = 6,873,680.39/2,793.90
  6. Step 6: Final answer
    x = 2,460.25

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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.