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Finding the Fourth Proportional to 3,169.46, 4,754.21 and 978.14

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Solution

The fourth proportional to 3,169.46, 4,754.21 and 978.14 is: 1,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.46 : 4,754.21 = 978.14 : x
  2. Step 2: Convert to fraction form
    3,169.46/4,754.21 = 978.14/x
  3. Step 3: Cross multiply
    3,169.46x = 4,754.21 × 978.14
  4. Step 4: Simplify right side
    3,169.46x = 4,650,254.31
  5. Step 5: Solve for x
    x = 4,650,254.31/3,169.46
  6. Step 6: Final answer
    x = 1,467.21

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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.