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Finding the Fourth Proportional to 2,382.76, 3,289.74 and 1,941.71

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Solution

The fourth proportional to 2,382.76, 3,289.74 and 1,941.71 is: 2,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.76 : 3,289.74 = 1,941.71 : x
  2. Step 2: Convert to fraction form
    2,382.76/3,289.74 = 1,941.71/x
  3. Step 3: Cross multiply
    2,382.76x = 3,289.74 × 1,941.71
  4. Step 4: Simplify right side
    2,382.76x = 6,387,729.28
  5. Step 5: Solve for x
    x = 6,387,729.28/2,382.76
  6. Step 6: Final answer
    x = 2,680.81

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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.