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Finding the Fourth Proportional to 2,291.56, 3,429.14 and 1,984.48

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Solution

The fourth proportional to 2,291.56, 3,429.14 and 1,984.48 is: 2,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.56 : 3,429.14 = 1,984.48 : x
  2. Step 2: Convert to fraction form
    2,291.56/3,429.14 = 1,984.48/x
  3. Step 3: Cross multiply
    2,291.56x = 3,429.14 × 1,984.48
  4. Step 4: Simplify right side
    2,291.56x = 6,805,059.75
  5. Step 5: Solve for x
    x = 6,805,059.75/2,291.56
  6. Step 6: Final answer
    x = 2,969.62

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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.