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Finding the Fourth Proportional to 3,575.14, 5,362.30 and 978.28

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Solution

The fourth proportional to 3,575.14, 5,362.30 and 978.28 is: 1,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.14 : 5,362.30 = 978.28 : x
  2. Step 2: Convert to fraction form
    3,575.14/5,362.30 = 978.28/x
  3. Step 3: Cross multiply
    3,575.14x = 5,362.30 × 978.28
  4. Step 4: Simplify right side
    3,575.14x = 5,245,830.84
  5. Step 5: Solve for x
    x = 5,245,830.84/3,575.14
  6. Step 6: Final answer
    x = 1,467.31

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1.5x scale

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.