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Finding the Fourth Proportional to 2,788.49, 3,847.15 and 1,794.35

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Solution

The fourth proportional to 2,788.49, 3,847.15 and 1,794.35 is: 2,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.49 : 3,847.15 = 1,794.35 : x
  2. Step 2: Convert to fraction form
    2,788.49/3,847.15 = 1,794.35/x
  3. Step 3: Cross multiply
    2,788.49x = 3,847.15 × 1,794.35
  4. Step 4: Simplify right side
    2,788.49x = 6,903,133.60
  5. Step 5: Solve for x
    x = 6,903,133.60/2,788.49
  6. Step 6: Final answer
    x = 2,475.58

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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.