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Finding the Fourth Proportional to 12,873.50, 19,311.90 and 3,639.50

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Solution

The fourth proportional to 12,873.50, 19,311.90 and 3,639.50 is: 5,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.50 : 19,311.90 = 3,639.50 : x
  2. Step 2: Convert to fraction form
    12,873.50/19,311.90 = 3,639.50/x
  3. Step 3: Cross multiply
    12,873.50x = 19,311.90 × 3,639.50
  4. Step 4: Simplify right side
    12,873.50x = 70,285,660.05
  5. Step 5: Solve for x
    x = 70,285,660.05/12,873.50
  6. Step 6: Final answer
    x = 5,459.72

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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.