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Finding the Fourth Proportional to 3,866.31, 5,333.40 and 2,354.31

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Solution

The fourth proportional to 3,866.31, 5,333.40 and 2,354.31 is: 3,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.31 : 5,333.40 = 2,354.31 : x
  2. Step 2: Convert to fraction form
    3,866.31/5,333.40 = 2,354.31/x
  3. Step 3: Cross multiply
    3,866.31x = 5,333.40 × 2,354.31
  4. Step 4: Simplify right side
    3,866.31x = 12,556,476.95
  5. Step 5: Solve for x
    x = 12,556,476.95/3,866.31
  6. Step 6: Final answer
    x = 3,247.66

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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.