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Finding the Fourth Proportional to 3,657.82, 5,047.80 and 1,979.22

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Solution

The fourth proportional to 3,657.82, 5,047.80 and 1,979.22 is: 2,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.82 : 5,047.80 = 1,979.22 : x
  2. Step 2: Convert to fraction form
    3,657.82/5,047.80 = 1,979.22/x
  3. Step 3: Cross multiply
    3,657.82x = 5,047.80 × 1,979.22
  4. Step 4: Simplify right side
    3,657.82x = 9,990,706.72
  5. Step 5: Solve for x
    x = 9,990,706.72/3,657.82
  6. Step 6: Final answer
    x = 2,731.33

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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.