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Finding the Fourth Proportional to 4,053.78, 6,078.78 and 2,105.46

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Solution

The fourth proportional to 4,053.78, 6,078.78 and 2,105.46 is: 3,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.78 : 6,078.78 = 2,105.46 : x
  2. Step 2: Convert to fraction form
    4,053.78/6,078.78 = 2,105.46/x
  3. Step 3: Cross multiply
    4,053.78x = 6,078.78 × 2,105.46
  4. Step 4: Simplify right side
    4,053.78x = 12,798,628.14
  5. Step 5: Solve for x
    x = 12,798,628.14/4,053.78
  6. Step 6: Final answer
    x = 3,157.21

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1.5x scale

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.