Home / 1,902.26-2,851.61-975.76

Finding the Fourth Proportional to 1,902.26, 2,851.61 and 975.76

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Solution

The fourth proportional to 1,902.26, 2,851.61 and 975.76 is: 1,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.26 : 2,851.61 = 975.76 : x
  2. Step 2: Convert to fraction form
    1,902.26/2,851.61 = 975.76/x
  3. Step 3: Cross multiply
    1,902.26x = 2,851.61 × 975.76
  4. Step 4: Simplify right side
    1,902.26x = 2,782,485.66
  5. Step 5: Solve for x
    x = 2,782,485.66/1,902.26
  6. Step 6: Final answer
    x = 1,462.73

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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.