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Finding the Fourth Proportional to 2,228.49, 3,341.16 and 978.48

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Solution

The fourth proportional to 2,228.49, 3,341.16 and 978.48 is: 1,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.49 : 3,341.16 = 978.48 : x
  2. Step 2: Convert to fraction form
    2,228.49/3,341.16 = 978.48/x
  3. Step 3: Cross multiply
    2,228.49x = 3,341.16 × 978.48
  4. Step 4: Simplify right side
    2,228.49x = 3,269,258.24
  5. Step 5: Solve for x
    x = 3,269,258.24/2,228.49
  6. Step 6: Final answer
    x = 1,467.03

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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.