Home / 2,074.14-3,109.68-977.88

Finding the Fourth Proportional to 2,074.14, 3,109.68 and 977.88

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Solution

The fourth proportional to 2,074.14, 3,109.68 and 977.88 is: 1,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.14 : 3,109.68 = 977.88 : x
  2. Step 2: Convert to fraction form
    2,074.14/3,109.68 = 977.88/x
  3. Step 3: Cross multiply
    2,074.14x = 3,109.68 × 977.88
  4. Step 4: Simplify right side
    2,074.14x = 3,040,893.88
  5. Step 5: Solve for x
    x = 3,040,893.88/2,074.14
  6. Step 6: Final answer
    x = 1,466.10

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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.