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Finding the Fourth Proportional to 23,069, 34,603.50 and 8,278.82

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Solution

The fourth proportional to 23,069, 34,603.50 and 8,278.82 is: 12,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069 : 34,603.50 = 8,278.82 : x
  2. Step 2: Convert to fraction form
    23,069/34,603.50 = 8,278.82/x
  3. Step 3: Cross multiply
    23,069x = 34,603.50 × 8,278.82
  4. Step 4: Simplify right side
    23,069x = 286,476,147.87
  5. Step 5: Solve for x
    x = 286,476,147.87/23,069
  6. Step 6: Final answer
    x = 12,418.23

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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.