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Finding the Fourth Proportional to 2,799.68, 3,857.46 and 2,091.24

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Solution

The fourth proportional to 2,799.68, 3,857.46 and 2,091.24 is: 2,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.68 : 3,857.46 = 2,091.24 : x
  2. Step 2: Convert to fraction form
    2,799.68/3,857.46 = 2,091.24/x
  3. Step 3: Cross multiply
    2,799.68x = 3,857.46 × 2,091.24
  4. Step 4: Simplify right side
    2,799.68x = 8,066,874.65
  5. Step 5: Solve for x
    x = 8,066,874.65/2,799.68
  6. Step 6: Final answer
    x = 2,881.36

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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.