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Finding the Fourth Proportional to 3,858.02, 5,775.50 and 2,881.70

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Solution

The fourth proportional to 3,858.02, 5,775.50 and 2,881.70 is: 4,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.02 : 5,775.50 = 2,881.70 : x
  2. Step 2: Convert to fraction form
    3,858.02/5,775.50 = 2,881.70/x
  3. Step 3: Cross multiply
    3,858.02x = 5,775.50 × 2,881.70
  4. Step 4: Simplify right side
    3,858.02x = 16,643,258.35
  5. Step 5: Solve for x
    x = 16,643,258.35/3,858.02
  6. Step 6: Final answer
    x = 4,313.94

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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.