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Finding the Fourth Proportional to 1,896.34, 2,842.67 and 972.33

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Solution

The fourth proportional to 1,896.34, 2,842.67 and 972.33 is: 1,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.34 : 2,842.67 = 972.33 : x
  2. Step 2: Convert to fraction form
    1,896.34/2,842.67 = 972.33/x
  3. Step 3: Cross multiply
    1,896.34x = 2,842.67 × 972.33
  4. Step 4: Simplify right side
    1,896.34x = 2,764,015.75
  5. Step 5: Solve for x
    x = 2,764,015.75/1,896.34
  6. Step 6: Final answer
    x = 1,457.55

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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.