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Finding the Fourth Proportional to 5,405, 7,456.32 and 3,833.96

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Solution

The fourth proportional to 5,405, 7,456.32 and 3,833.96 is: 5,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405 : 7,456.32 = 3,833.96 : x
  2. Step 2: Convert to fraction form
    5,405/7,456.32 = 3,833.96/x
  3. Step 3: Cross multiply
    5,405x = 7,456.32 × 3,833.96
  4. Step 4: Simplify right side
    5,405x = 28,587,232.63
  5. Step 5: Solve for x
    x = 28,587,232.63/5,405
  6. Step 6: Final answer
    x = 5,289.03

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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.