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Finding the Fourth Proportional to 2,182.76, 3,274.32 and 722.12

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Solution

The fourth proportional to 2,182.76, 3,274.32 and 722.12 is: 1,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.76 : 3,274.32 = 722.12 : x
  2. Step 2: Convert to fraction form
    2,182.76/3,274.32 = 722.12/x
  3. Step 3: Cross multiply
    2,182.76x = 3,274.32 × 722.12
  4. Step 4: Simplify right side
    2,182.76x = 2,364,451.96
  5. Step 5: Solve for x
    x = 2,364,451.96/2,182.76
  6. Step 6: Final answer
    x = 1,083.24

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1.5x scale

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.