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Finding the Fourth Proportional to 2,173.48, 3,259.91 and 712.44

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Solution

The fourth proportional to 2,173.48, 3,259.91 and 712.44 is: 1,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.48 : 3,259.91 = 712.44 : x
  2. Step 2: Convert to fraction form
    2,173.48/3,259.91 = 712.44/x
  3. Step 3: Cross multiply
    2,173.48x = 3,259.91 × 712.44
  4. Step 4: Simplify right side
    2,173.48x = 2,322,490.28
  5. Step 5: Solve for x
    x = 2,322,490.28/2,173.48
  6. Step 6: Final answer
    x = 1,068.56

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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.