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Finding the Fourth Proportional to 4,869, 6,719.70 and 2,773.14

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Solution

The fourth proportional to 4,869, 6,719.70 and 2,773.14 is: 3,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 6,719.70 = 2,773.14 : x
  2. Step 2: Convert to fraction form
    4,869/6,719.70 = 2,773.14/x
  3. Step 3: Cross multiply
    4,869x = 6,719.70 × 2,773.14
  4. Step 4: Simplify right side
    4,869x = 18,634,668.86
  5. Step 5: Solve for x
    x = 18,634,668.86/4,869
  6. Step 6: Final answer
    x = 3,827.21

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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.