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Finding the Fourth Proportional to 2,173.32, 3,260.25 and 712.08

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Solution

The fourth proportional to 2,173.32, 3,260.25 and 712.08 is: 1,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.32 : 3,260.25 = 712.08 : x
  2. Step 2: Convert to fraction form
    2,173.32/3,260.25 = 712.08/x
  3. Step 3: Cross multiply
    2,173.32x = 3,260.25 × 712.08
  4. Step 4: Simplify right side
    2,173.32x = 2,321,558.82
  5. Step 5: Solve for x
    x = 2,321,558.82/2,173.32
  6. Step 6: Final answer
    x = 1,068.21

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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.