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Finding the Fourth Proportional to 4,869, 6,719.22 and 2,774.34

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Solution

The fourth proportional to 4,869, 6,719.22 and 2,774.34 is: 3,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 6,719.22 = 2,774.34 : x
  2. Step 2: Convert to fraction form
    4,869/6,719.22 = 2,774.34/x
  3. Step 3: Cross multiply
    4,869x = 6,719.22 × 2,774.34
  4. Step 4: Simplify right side
    4,869x = 18,641,400.81
  5. Step 5: Solve for x
    x = 18,641,400.81/4,869
  6. Step 6: Final answer
    x = 3,828.59

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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.