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Finding the Fourth Proportional to 3,480.96, 4,803.72 and 1,909.06

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Solution

The fourth proportional to 3,480.96, 4,803.72 and 1,909.06 is: 2,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.96 : 4,803.72 = 1,909.06 : x
  2. Step 2: Convert to fraction form
    3,480.96/4,803.72 = 1,909.06/x
  3. Step 3: Cross multiply
    3,480.96x = 4,803.72 × 1,909.06
  4. Step 4: Simplify right side
    3,480.96x = 9,170,589.70
  5. Step 5: Solve for x
    x = 9,170,589.70/3,480.96
  6. Step 6: Final answer
    x = 2,634.50

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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.