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Finding the Fourth Proportional to 3,873.19, 5,812.08 and 1,408.19

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Solution

The fourth proportional to 3,873.19, 5,812.08 and 1,408.19 is: 2,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.19 : 5,812.08 = 1,408.19 : x
  2. Step 2: Convert to fraction form
    3,873.19/5,812.08 = 1,408.19/x
  3. Step 3: Cross multiply
    3,873.19x = 5,812.08 × 1,408.19
  4. Step 4: Simplify right side
    3,873.19x = 8,184,505.89
  5. Step 5: Solve for x
    x = 8,184,505.89/3,873.19
  6. Step 6: Final answer
    x = 2,113.12

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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.