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Finding the Fourth Proportional to 3,057.91, 4,586.96 and 978.21

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Solution

The fourth proportional to 3,057.91, 4,586.96 and 978.21 is: 1,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.91 : 4,586.96 = 978.21 : x
  2. Step 2: Convert to fraction form
    3,057.91/4,586.96 = 978.21/x
  3. Step 3: Cross multiply
    3,057.91x = 4,586.96 × 978.21
  4. Step 4: Simplify right side
    3,057.91x = 4,487,012.59
  5. Step 5: Solve for x
    x = 4,487,012.59/3,057.91
  6. Step 6: Final answer
    x = 1,467.35

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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.