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Finding the Fourth Proportional to 2,786.76, 3,846.14 and 1,607.60

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Solution

The fourth proportional to 2,786.76, 3,846.14 and 1,607.60 is: 2,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.76 : 3,846.14 = 1,607.60 : x
  2. Step 2: Convert to fraction form
    2,786.76/3,846.14 = 1,607.60/x
  3. Step 3: Cross multiply
    2,786.76x = 3,846.14 × 1,607.60
  4. Step 4: Simplify right side
    2,786.76x = 6,183,027.40
  5. Step 5: Solve for x
    x = 6,183,027.40/2,786.76
  6. Step 6: Final answer
    x = 2,218.72

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Double scale
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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.