Home / 1,928.14-2,892.81-1,149.02

Finding the Fourth Proportional to 1,928.14, 2,892.81 and 1,149.02

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Solution

The fourth proportional to 1,928.14, 2,892.81 and 1,149.02 is: 1,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.14 : 2,892.81 = 1,149.02 : x
  2. Step 2: Convert to fraction form
    1,928.14/2,892.81 = 1,149.02/x
  3. Step 3: Cross multiply
    1,928.14x = 2,892.81 × 1,149.02
  4. Step 4: Simplify right side
    1,928.14x = 3,323,897.24
  5. Step 5: Solve for x
    x = 3,323,897.24/1,928.14
  6. Step 6: Final answer
    x = 1,723.89

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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.