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Finding the Fourth Proportional to 3,420.90, 4,720.46 and 1,928.88

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Solution

The fourth proportional to 3,420.90, 4,720.46 and 1,928.88 is: 2,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.90 : 4,720.46 = 1,928.88 : x
  2. Step 2: Convert to fraction form
    3,420.90/4,720.46 = 1,928.88/x
  3. Step 3: Cross multiply
    3,420.90x = 4,720.46 × 1,928.88
  4. Step 4: Simplify right side
    3,420.90x = 9,105,191.24
  5. Step 5: Solve for x
    x = 9,105,191.24/3,420.90
  6. Step 6: Final answer
    x = 2,661.64

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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.