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Finding the Fourth Proportional to 3,778.77, 5,667.04 and 1,313.13

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Solution

The fourth proportional to 3,778.77, 5,667.04 and 1,313.13 is: 1,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.77 : 5,667.04 = 1,313.13 : x
  2. Step 2: Convert to fraction form
    3,778.77/5,667.04 = 1,313.13/x
  3. Step 3: Cross multiply
    3,778.77x = 5,667.04 × 1,313.13
  4. Step 4: Simplify right side
    3,778.77x = 7,441,560.24
  5. Step 5: Solve for x
    x = 7,441,560.24/3,778.77
  6. Step 6: Final answer
    x = 1,969.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.