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Finding the Fourth Proportional to 3,057.68, 4,587.03 and 978.21

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Solution

The fourth proportional to 3,057.68, 4,587.03 and 978.21 is: 1,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.68 : 4,587.03 = 978.21 : x
  2. Step 2: Convert to fraction form
    3,057.68/4,587.03 = 978.21/x
  3. Step 3: Cross multiply
    3,057.68x = 4,587.03 × 978.21
  4. Step 4: Simplify right side
    3,057.68x = 4,487,078.62
  5. Step 5: Solve for x
    x = 4,487,078.62/3,057.68
  6. Step 6: Final answer
    x = 1,467.48

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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.