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Finding the Fourth Proportional to 2,794.74, 3,857.13 and 1,864.86

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Solution

The fourth proportional to 2,794.74, 3,857.13 and 1,864.86 is: 2,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.74 : 3,857.13 = 1,864.86 : x
  2. Step 2: Convert to fraction form
    2,794.74/3,857.13 = 1,864.86/x
  3. Step 3: Cross multiply
    2,794.74x = 3,857.13 × 1,864.86
  4. Step 4: Simplify right side
    2,794.74x = 7,193,007.45
  5. Step 5: Solve for x
    x = 7,193,007.45/2,794.74
  6. Step 6: Final answer
    x = 2,573.77

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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.