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Finding the Fourth Proportional to 2,744.76, 3,775.81 and 2,407.15

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Solution

The fourth proportional to 2,744.76, 3,775.81 and 2,407.15 is: 3,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.76 : 3,775.81 = 2,407.15 : x
  2. Step 2: Convert to fraction form
    2,744.76/3,775.81 = 2,407.15/x
  3. Step 3: Cross multiply
    2,744.76x = 3,775.81 × 2,407.15
  4. Step 4: Simplify right side
    2,744.76x = 9,088,910.13
  5. Step 5: Solve for x
    x = 9,088,910.13/2,744.76
  6. Step 6: Final answer
    x = 3,311.37

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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.