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Finding the Fourth Proportional to 30,692.78, 46,038.97 and 7,896.61

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Solution

The fourth proportional to 30,692.78, 46,038.97 and 7,896.61 is: 11,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.78 : 46,038.97 = 7,896.61 : x
  2. Step 2: Convert to fraction form
    30,692.78/46,038.97 = 7,896.61/x
  3. Step 3: Cross multiply
    30,692.78x = 46,038.97 × 7,896.61
  4. Step 4: Simplify right side
    30,692.78x = 363,551,790.89
  5. Step 5: Solve for x
    x = 363,551,790.89/30,692.78
  6. Step 6: Final answer
    x = 11,844.86

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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.