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Finding the Fourth Proportional to 5,235.31, 7,231.14 and 3,914.89

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Solution

The fourth proportional to 5,235.31, 7,231.14 and 3,914.89 is: 5,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.31 : 7,231.14 = 3,914.89 : x
  2. Step 2: Convert to fraction form
    5,235.31/7,231.14 = 3,914.89/x
  3. Step 3: Cross multiply
    5,235.31x = 7,231.14 × 3,914.89
  4. Step 4: Simplify right side
    5,235.31x = 28,309,117.67
  5. Step 5: Solve for x
    x = 28,309,117.67/5,235.31
  6. Step 6: Final answer
    x = 5,407.34

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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.