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Finding the Fourth Proportional to 2,706.50, 3,736.11 and 1,820.63

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Solution

The fourth proportional to 2,706.50, 3,736.11 and 1,820.63 is: 2,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.50 : 3,736.11 = 1,820.63 : x
  2. Step 2: Convert to fraction form
    2,706.50/3,736.11 = 1,820.63/x
  3. Step 3: Cross multiply
    2,706.50x = 3,736.11 × 1,820.63
  4. Step 4: Simplify right side
    2,706.50x = 6,802,055.27
  5. Step 5: Solve for x
    x = 6,802,055.27/2,706.50
  6. Step 6: Final answer
    x = 2,513.23

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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.