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Finding the Fourth Proportional to 2,786.86, 3,845.75 and 1,667.21

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Solution

The fourth proportional to 2,786.86, 3,845.75 and 1,667.21 is: 2,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.86 : 3,845.75 = 1,667.21 : x
  2. Step 2: Convert to fraction form
    2,786.86/3,845.75 = 1,667.21/x
  3. Step 3: Cross multiply
    2,786.86x = 3,845.75 × 1,667.21
  4. Step 4: Simplify right side
    2,786.86x = 6,411,670.18
  5. Step 5: Solve for x
    x = 6,411,670.18/2,786.86
  6. Step 6: Final answer
    x = 2,300.68

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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.