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Finding the Fourth Proportional to 2,709.56, 4,055.16 and 1,721.90

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Solution

The fourth proportional to 2,709.56, 4,055.16 and 1,721.90 is: 2,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.56 : 4,055.16 = 1,721.90 : x
  2. Step 2: Convert to fraction form
    2,709.56/4,055.16 = 1,721.90/x
  3. Step 3: Cross multiply
    2,709.56x = 4,055.16 × 1,721.90
  4. Step 4: Simplify right side
    2,709.56x = 6,982,580.00
  5. Step 5: Solve for x
    x = 6,982,580.00/2,709.56
  6. Step 6: Final answer
    x = 2,577.02

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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.