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Finding the Fourth Proportional to 2,074.12, 3,108.75 and 978.19

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Solution

The fourth proportional to 2,074.12, 3,108.75 and 978.19 is: 1,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.12 : 3,108.75 = 978.19 : x
  2. Step 2: Convert to fraction form
    2,074.12/3,108.75 = 978.19/x
  3. Step 3: Cross multiply
    2,074.12x = 3,108.75 × 978.19
  4. Step 4: Simplify right side
    2,074.12x = 3,040,948.16
  5. Step 5: Solve for x
    x = 3,040,948.16/2,074.12
  6. Step 6: Final answer
    x = 1,466.14

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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.