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Finding the Fourth Proportional to 2,774.66, 4,161.98 and 2,705.00

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Solution

The fourth proportional to 2,774.66, 4,161.98 and 2,705.00 is: 4,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.66 : 4,161.98 = 2,705.00 : x
  2. Step 2: Convert to fraction form
    2,774.66/4,161.98 = 2,705.00/x
  3. Step 3: Cross multiply
    2,774.66x = 4,161.98 × 2,705.00
  4. Step 4: Simplify right side
    2,774.66x = 11,258,141.85
  5. Step 5: Solve for x
    x = 11,258,141.85/2,774.66
  6. Step 6: Final answer
    x = 4,057.49

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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.