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Finding the Fourth Proportional to 12,917.20, 19,379.02 and 3,683.20

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Solution

The fourth proportional to 12,917.20, 19,379.02 and 3,683.20 is: 5,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.20 : 19,379.02 = 3,683.20 : x
  2. Step 2: Convert to fraction form
    12,917.20/19,379.02 = 3,683.20/x
  3. Step 3: Cross multiply
    12,917.20x = 19,379.02 × 3,683.20
  4. Step 4: Simplify right side
    12,917.20x = 71,376,806.46
  5. Step 5: Solve for x
    x = 71,376,806.46/12,917.20
  6. Step 6: Final answer
    x = 5,525.72

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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.