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Finding the Fourth Proportional to 3,873.68, 5,811.64 and 1,408.46

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Solution

The fourth proportional to 3,873.68, 5,811.64 and 1,408.46 is: 2,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.68 : 5,811.64 = 1,408.46 : x
  2. Step 2: Convert to fraction form
    3,873.68/5,811.64 = 1,408.46/x
  3. Step 3: Cross multiply
    3,873.68x = 5,811.64 × 1,408.46
  4. Step 4: Simplify right side
    3,873.68x = 8,185,462.47
  5. Step 5: Solve for x
    x = 8,185,462.47/3,873.68
  6. Step 6: Final answer
    x = 2,113.10

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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.