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Finding the Fourth Proportional to 12,879.48, 19,325.70 and 7,689

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Solution

The fourth proportional to 12,879.48, 19,325.70 and 7,689 is: 11,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.48 : 19,325.70 = 7,689 : x
  2. Step 2: Convert to fraction form
    12,879.48/19,325.70 = 7,689/x
  3. Step 3: Cross multiply
    12,879.48x = 19,325.70 × 7,689
  4. Step 4: Simplify right side
    12,879.48x = 148,595,307.30
  5. Step 5: Solve for x
    x = 148,595,307.30/12,879.48
  6. Step 6: Final answer
    x = 11,537.37

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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.