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Finding the Fourth Proportional to 1,946.56, 2,684.74 and 1,805.64

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Solution

The fourth proportional to 1,946.56, 2,684.74 and 1,805.64 is: 2,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.56 : 2,684.74 = 1,805.64 : x
  2. Step 2: Convert to fraction form
    1,946.56/2,684.74 = 1,805.64/x
  3. Step 3: Cross multiply
    1,946.56x = 2,684.74 × 1,805.64
  4. Step 4: Simplify right side
    1,946.56x = 4,847,673.93
  5. Step 5: Solve for x
    x = 4,847,673.93/1,946.56
  6. Step 6: Final answer
    x = 2,490.38

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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.