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Finding the Fourth Proportional to 3,778.86, 5,667.03 and 1,587.18

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Solution

The fourth proportional to 3,778.86, 5,667.03 and 1,587.18 is: 2,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.86 : 5,667.03 = 1,587.18 : x
  2. Step 2: Convert to fraction form
    3,778.86/5,667.03 = 1,587.18/x
  3. Step 3: Cross multiply
    3,778.86x = 5,667.03 × 1,587.18
  4. Step 4: Simplify right side
    3,778.86x = 8,994,596.68
  5. Step 5: Solve for x
    x = 8,994,596.68/3,778.86
  6. Step 6: Final answer
    x = 2,380.24

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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.