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Finding the Fourth Proportional to 3,804.02, 5,701.76 and 1,720.90

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Solution

The fourth proportional to 3,804.02, 5,701.76 and 1,720.90 is: 2,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.02 : 5,701.76 = 1,720.90 : x
  2. Step 2: Convert to fraction form
    3,804.02/5,701.76 = 1,720.90/x
  3. Step 3: Cross multiply
    3,804.02x = 5,701.76 × 1,720.90
  4. Step 4: Simplify right side
    3,804.02x = 9,812,158.78
  5. Step 5: Solve for x
    x = 9,812,158.78/3,804.02
  6. Step 6: Final answer
    x = 2,579.42

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1.5x scale

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.