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Finding the Fourth Proportional to 3,852, 5,320.08 and 2,607.84

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Solution

The fourth proportional to 3,852, 5,320.08 and 2,607.84 is: 3,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852 : 5,320.08 = 2,607.84 : x
  2. Step 2: Convert to fraction form
    3,852/5,320.08 = 2,607.84/x
  3. Step 3: Cross multiply
    3,852x = 5,320.08 × 2,607.84
  4. Step 4: Simplify right side
    3,852x = 13,873,917.43
  5. Step 5: Solve for x
    x = 13,873,917.43/3,852
  6. Step 6: Final answer
    x = 3,601.74

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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.