Home / 1,427.78-1,971.26-1,278.15

Finding the Fourth Proportional to 1,427.78, 1,971.26 and 1,278.15

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Solution

The fourth proportional to 1,427.78, 1,971.26 and 1,278.15 is: 1,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.78 : 1,971.26 = 1,278.15 : x
  2. Step 2: Convert to fraction form
    1,427.78/1,971.26 = 1,278.15/x
  3. Step 3: Cross multiply
    1,427.78x = 1,971.26 × 1,278.15
  4. Step 4: Simplify right side
    1,427.78x = 2,519,565.97
  5. Step 5: Solve for x
    x = 2,519,565.97/1,427.78
  6. Step 6: Final answer
    x = 1,764.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.