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Finding the Fourth Proportional to 12,906, 19,359.72 and 3,672.72

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Solution

The fourth proportional to 12,906, 19,359.72 and 3,672.72 is: 5,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906 : 19,359.72 = 3,672.72 : x
  2. Step 2: Convert to fraction form
    12,906/19,359.72 = 3,672.72/x
  3. Step 3: Cross multiply
    12,906x = 19,359.72 × 3,672.72
  4. Step 4: Simplify right side
    12,906x = 71,102,830.84
  5. Step 5: Solve for x
    x = 71,102,830.84/12,906
  6. Step 6: Final answer
    x = 5,509.28

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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.