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Finding the Fourth Proportional to 3,400.62, 4,693.47 and 1,984.50

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Solution

The fourth proportional to 3,400.62, 4,693.47 and 1,984.50 is: 2,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.62 : 4,693.47 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    3,400.62/4,693.47 = 1,984.50/x
  3. Step 3: Cross multiply
    3,400.62x = 4,693.47 × 1,984.50
  4. Step 4: Simplify right side
    3,400.62x = 9,314,191.22
  5. Step 5: Solve for x
    x = 9,314,191.22/3,400.62
  6. Step 6: Final answer
    x = 2,738.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.