Home / 2,138.14-3,207.80-904.90

Finding the Fourth Proportional to 2,138.14, 3,207.80 and 904.90

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Solution

The fourth proportional to 2,138.14, 3,207.80 and 904.90 is: 1,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.14 : 3,207.80 = 904.90 : x
  2. Step 2: Convert to fraction form
    2,138.14/3,207.80 = 904.90/x
  3. Step 3: Cross multiply
    2,138.14x = 3,207.80 × 904.90
  4. Step 4: Simplify right side
    2,138.14x = 2,902,738.22
  5. Step 5: Solve for x
    x = 2,902,738.22/2,138.14
  6. Step 6: Final answer
    x = 1,357.60

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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.