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Finding the Fourth Proportional to 12,897, 19,346.22 and 3,663.72

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Solution

The fourth proportional to 12,897, 19,346.22 and 3,663.72 is: 5,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 19,346.22 = 3,663.72 : x
  2. Step 2: Convert to fraction form
    12,897/19,346.22 = 3,663.72/x
  3. Step 3: Cross multiply
    12,897x = 19,346.22 × 3,663.72
  4. Step 4: Simplify right side
    12,897x = 70,879,133.14
  5. Step 5: Solve for x
    x = 70,879,133.14/12,897
  6. Step 6: Final answer
    x = 5,495.78

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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.