Home / 1,896.40-2,847.26-972.62

Finding the Fourth Proportional to 1,896.40, 2,847.26 and 972.62

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Solution

The fourth proportional to 1,896.40, 2,847.26 and 972.62 is: 1,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.40 : 2,847.26 = 972.62 : x
  2. Step 2: Convert to fraction form
    1,896.40/2,847.26 = 972.62/x
  3. Step 3: Cross multiply
    1,896.40x = 2,847.26 × 972.62
  4. Step 4: Simplify right side
    1,896.40x = 2,769,302.02
  5. Step 5: Solve for x
    x = 2,769,302.02/1,896.40
  6. Step 6: Final answer
    x = 1,460.29

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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.