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Finding the Fourth Proportional to 3,931, 5,896.08 and 1,157.68

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Solution

The fourth proportional to 3,931, 5,896.08 and 1,157.68 is: 1,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931 : 5,896.08 = 1,157.68 : x
  2. Step 2: Convert to fraction form
    3,931/5,896.08 = 1,157.68/x
  3. Step 3: Cross multiply
    3,931x = 5,896.08 × 1,157.68
  4. Step 4: Simplify right side
    3,931x = 6,825,773.89
  5. Step 5: Solve for x
    x = 6,825,773.89/3,931
  6. Step 6: Final answer
    x = 1,736.40

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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.