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Finding the Fourth Proportional to 3,575.45, 5,362.97 and 978.19

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Solution

The fourth proportional to 3,575.45, 5,362.97 and 978.19 is: 1,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.45 : 5,362.97 = 978.19 : x
  2. Step 2: Convert to fraction form
    3,575.45/5,362.97 = 978.19/x
  3. Step 3: Cross multiply
    3,575.45x = 5,362.97 × 978.19
  4. Step 4: Simplify right side
    3,575.45x = 5,245,985.33
  5. Step 5: Solve for x
    x = 5,245,985.33/3,575.45
  6. Step 6: Final answer
    x = 1,467.22

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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.