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Finding the Fourth Proportional to 3,357.76, 5,036.62 and 1,305.76

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Solution

The fourth proportional to 3,357.76, 5,036.62 and 1,305.76 is: 1,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.76 : 5,036.62 = 1,305.76 : x
  2. Step 2: Convert to fraction form
    3,357.76/5,036.62 = 1,305.76/x
  3. Step 3: Cross multiply
    3,357.76x = 5,036.62 × 1,305.76
  4. Step 4: Simplify right side
    3,357.76x = 6,576,616.93
  5. Step 5: Solve for x
    x = 6,576,616.93/3,357.76
  6. Step 6: Final answer
    x = 1,958.63

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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.