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Finding the Fourth Proportional to 12,684, 19,025.64 and 3,917.64

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Solution

The fourth proportional to 12,684, 19,025.64 and 3,917.64 is: 5,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684 : 19,025.64 = 3,917.64 : x
  2. Step 2: Convert to fraction form
    12,684/19,025.64 = 3,917.64/x
  3. Step 3: Cross multiply
    12,684x = 19,025.64 × 3,917.64
  4. Step 4: Simplify right side
    12,684x = 74,535,608.29
  5. Step 5: Solve for x
    x = 74,535,608.29/12,684
  6. Step 6: Final answer
    x = 5,876.35

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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.