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Finding the Fourth Proportional to 2,703.50, 3,727.45 and 2,256.01

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Solution

The fourth proportional to 2,703.50, 3,727.45 and 2,256.01 is: 3,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.50 : 3,727.45 = 2,256.01 : x
  2. Step 2: Convert to fraction form
    2,703.50/3,727.45 = 2,256.01/x
  3. Step 3: Cross multiply
    2,703.50x = 3,727.45 × 2,256.01
  4. Step 4: Simplify right side
    2,703.50x = 8,409,177.99
  5. Step 5: Solve for x
    x = 8,409,177.99/2,703.50
  6. Step 6: Final answer
    x = 3,110.48

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