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Finding the Fourth Proportional to 3,978.64, 5,956.44 and 2,607.76

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Solution

The fourth proportional to 3,978.64, 5,956.44 and 2,607.76 is: 3,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.64 : 5,956.44 = 2,607.76 : x
  2. Step 2: Convert to fraction form
    3,978.64/5,956.44 = 2,607.76/x
  3. Step 3: Cross multiply
    3,978.64x = 5,956.44 × 2,607.76
  4. Step 4: Simplify right side
    3,978.64x = 15,532,965.97
  5. Step 5: Solve for x
    x = 15,532,965.97/3,978.64
  6. Step 6: Final answer
    x = 3,904.09

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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.