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Finding the Fourth Proportional to 3,915.69, 5,873.61 and 1,318.62

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Solution

The fourth proportional to 3,915.69, 5,873.61 and 1,318.62 is: 1,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.69 : 5,873.61 = 1,318.62 : x
  2. Step 2: Convert to fraction form
    3,915.69/5,873.61 = 1,318.62/x
  3. Step 3: Cross multiply
    3,915.69x = 5,873.61 × 1,318.62
  4. Step 4: Simplify right side
    3,915.69x = 7,745,030.25
  5. Step 5: Solve for x
    x = 7,745,030.25/3,915.69
  6. Step 6: Final answer
    x = 1,977.95

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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.