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Finding the Fourth Proportional to 3,932.64, 5,898.96 and 1,335.78

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Solution

The fourth proportional to 3,932.64, 5,898.96 and 1,335.78 is: 2,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.64 : 5,898.96 = 1,335.78 : x
  2. Step 2: Convert to fraction form
    3,932.64/5,898.96 = 1,335.78/x
  3. Step 3: Cross multiply
    3,932.64x = 5,898.96 × 1,335.78
  4. Step 4: Simplify right side
    3,932.64x = 7,879,712.79
  5. Step 5: Solve for x
    x = 7,879,712.79/3,932.64
  6. Step 6: Final answer
    x = 2,003.67

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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.