Home / 1,901.41-2,852.11-1,314.56

Finding the Fourth Proportional to 1,901.41, 2,852.11 and 1,314.56

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Solution

The fourth proportional to 1,901.41, 2,852.11 and 1,314.56 is: 1,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.41 : 2,852.11 = 1,314.56 : x
  2. Step 2: Convert to fraction form
    1,901.41/2,852.11 = 1,314.56/x
  3. Step 3: Cross multiply
    1,901.41x = 2,852.11 × 1,314.56
  4. Step 4: Simplify right side
    1,901.41x = 3,749,269.72
  5. Step 5: Solve for x
    x = 3,749,269.72/1,901.41
  6. Step 6: Final answer
    x = 1,971.84

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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.