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Finding the Fourth Proportional to 3,444.21, 5,165.64 and 978.44

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Solution

The fourth proportional to 3,444.21, 5,165.64 and 978.44 is: 1,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.21 : 5,165.64 = 978.44 : x
  2. Step 2: Convert to fraction form
    3,444.21/5,165.64 = 978.44/x
  3. Step 3: Cross multiply
    3,444.21x = 5,165.64 × 978.44
  4. Step 4: Simplify right side
    3,444.21x = 5,054,242.97
  5. Step 5: Solve for x
    x = 5,054,242.97/3,444.21
  6. Step 6: Final answer
    x = 1,467.46

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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.