Home / 1,896.41-2,847.26-972.61

Finding the Fourth Proportional to 1,896.41, 2,847.26 and 972.61

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Solution

The fourth proportional to 1,896.41, 2,847.26 and 972.61 is: 1,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.41 : 2,847.26 = 972.61 : x
  2. Step 2: Convert to fraction form
    1,896.41/2,847.26 = 972.61/x
  3. Step 3: Cross multiply
    1,896.41x = 2,847.26 × 972.61
  4. Step 4: Simplify right side
    1,896.41x = 2,769,254.45
  5. Step 5: Solve for x
    x = 2,769,254.45/1,896.41
  6. Step 6: Final answer
    x = 1,460.26

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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.