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Finding the Fourth Proportional to 2,712.36, 3,738 and 2,664.48

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Solution

The fourth proportional to 2,712.36, 3,738 and 2,664.48 is: 3,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.36 : 3,738 = 2,664.48 : x
  2. Step 2: Convert to fraction form
    2,712.36/3,738 = 2,664.48/x
  3. Step 3: Cross multiply
    2,712.36x = 3,738 × 2,664.48
  4. Step 4: Simplify right side
    2,712.36x = 9,959,826.24
  5. Step 5: Solve for x
    x = 9,959,826.24/2,712.36
  6. Step 6: Final answer
    x = 3,672.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.