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Finding the Fourth Proportional to 3,921.56, 5,877.52 and 2,886

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Solution

The fourth proportional to 3,921.56, 5,877.52 and 2,886 is: 4,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.56 : 5,877.52 = 2,886 : x
  2. Step 2: Convert to fraction form
    3,921.56/5,877.52 = 2,886/x
  3. Step 3: Cross multiply
    3,921.56x = 5,877.52 × 2,886
  4. Step 4: Simplify right side
    3,921.56x = 16,962,522.72
  5. Step 5: Solve for x
    x = 16,962,522.72/3,921.56
  6. Step 6: Final answer
    x = 4,325.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.