Home / 2,138.25-3,204.94-904.89

Finding the Fourth Proportional to 2,138.25, 3,204.94 and 904.89

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Solution

The fourth proportional to 2,138.25, 3,204.94 and 904.89 is: 1,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.25 : 3,204.94 = 904.89 : x
  2. Step 2: Convert to fraction form
    2,138.25/3,204.94 = 904.89/x
  3. Step 3: Cross multiply
    2,138.25x = 3,204.94 × 904.89
  4. Step 4: Simplify right side
    2,138.25x = 2,900,118.16
  5. Step 5: Solve for x
    x = 2,900,118.16/2,138.25
  6. Step 6: Final answer
    x = 1,356.30

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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.