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Finding the Fourth Proportional to 3,471.81, 4,791.08 and 1,878.46

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Solution

The fourth proportional to 3,471.81, 4,791.08 and 1,878.46 is: 2,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.81 : 4,791.08 = 1,878.46 : x
  2. Step 2: Convert to fraction form
    3,471.81/4,791.08 = 1,878.46/x
  3. Step 3: Cross multiply
    3,471.81x = 4,791.08 × 1,878.46
  4. Step 4: Simplify right side
    3,471.81x = 8,999,852.14
  5. Step 5: Solve for x
    x = 8,999,852.14/3,471.81
  6. Step 6: Final answer
    x = 2,592.27

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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.