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Finding the Fourth Proportional to 3,908.63, 5,393.89 and 2,140.22

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Solution

The fourth proportional to 3,908.63, 5,393.89 and 2,140.22 is: 2,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.63 : 5,393.89 = 2,140.22 : x
  2. Step 2: Convert to fraction form
    3,908.63/5,393.89 = 2,140.22/x
  3. Step 3: Cross multiply
    3,908.63x = 5,393.89 × 2,140.22
  4. Step 4: Simplify right side
    3,908.63x = 11,544,111.26
  5. Step 5: Solve for x
    x = 11,544,111.26/3,908.63
  6. Step 6: Final answer
    x = 2,953.49

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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.