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Finding the Fourth Proportional to 2,781.93, 3,838.79 and 1,662.64

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Solution

The fourth proportional to 2,781.93, 3,838.79 and 1,662.64 is: 2,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.93 : 3,838.79 = 1,662.64 : x
  2. Step 2: Convert to fraction form
    2,781.93/3,838.79 = 1,662.64/x
  3. Step 3: Cross multiply
    2,781.93x = 3,838.79 × 1,662.64
  4. Step 4: Simplify right side
    2,781.93x = 6,382,525.81
  5. Step 5: Solve for x
    x = 6,382,525.81/2,781.93
  6. Step 6: Final answer
    x = 2,294.28

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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.