Home / 1,904.80-2,853.22-977.54

Finding the Fourth Proportional to 1,904.80, 2,853.22 and 977.54

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Solution

The fourth proportional to 1,904.80, 2,853.22 and 977.54 is: 1,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.80 : 2,853.22 = 977.54 : x
  2. Step 2: Convert to fraction form
    1,904.80/2,853.22 = 977.54/x
  3. Step 3: Cross multiply
    1,904.80x = 2,853.22 × 977.54
  4. Step 4: Simplify right side
    1,904.80x = 2,789,136.68
  5. Step 5: Solve for x
    x = 2,789,136.68/1,904.80
  6. Step 6: Final answer
    x = 1,464.27

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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.