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Finding the Fourth Proportional to 3,951.12, 5,926.74 and 1,318.58

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Solution

The fourth proportional to 3,951.12, 5,926.74 and 1,318.58 is: 1,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.12 : 5,926.74 = 1,318.58 : x
  2. Step 2: Convert to fraction form
    3,951.12/5,926.74 = 1,318.58/x
  3. Step 3: Cross multiply
    3,951.12x = 5,926.74 × 1,318.58
  4. Step 4: Simplify right side
    3,951.12x = 7,814,880.83
  5. Step 5: Solve for x
    x = 7,814,880.83/3,951.12
  6. Step 6: Final answer
    x = 1,977.89

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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.