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Finding the Fourth Proportional to 2,300.20, 3,447.60 and 1,722.40

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Solution

The fourth proportional to 2,300.20, 3,447.60 and 1,722.40 is: 2,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.20 : 3,447.60 = 1,722.40 : x
  2. Step 2: Convert to fraction form
    2,300.20/3,447.60 = 1,722.40/x
  3. Step 3: Cross multiply
    2,300.20x = 3,447.60 × 1,722.40
  4. Step 4: Simplify right side
    2,300.20x = 5,938,146.24
  5. Step 5: Solve for x
    x = 5,938,146.24/2,300.20
  6. Step 6: Final answer
    x = 2,581.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.