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Finding the Fourth Proportional to 3,940.95, 5,911.42 and 1,476.93

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Solution

The fourth proportional to 3,940.95, 5,911.42 and 1,476.93 is: 2,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.95 : 5,911.42 = 1,476.93 : x
  2. Step 2: Convert to fraction form
    3,940.95/5,911.42 = 1,476.93/x
  3. Step 3: Cross multiply
    3,940.95x = 5,911.42 × 1,476.93
  4. Step 4: Simplify right side
    3,940.95x = 8,730,741.53
  5. Step 5: Solve for x
    x = 8,730,741.53/3,940.95
  6. Step 6: Final answer
    x = 2,215.39

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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.