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Finding the Fourth Proportional to 15,692.88, 23,516 and 7,892

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Solution

The fourth proportional to 15,692.88, 23,516 and 7,892 is: 11,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.88 : 23,516 = 7,892 : x
  2. Step 2: Convert to fraction form
    15,692.88/23,516 = 7,892/x
  3. Step 3: Cross multiply
    15,692.88x = 23,516 × 7,892
  4. Step 4: Simplify right side
    15,692.88x = 185,588,272
  5. Step 5: Solve for x
    x = 185,588,272/15,692.88
  6. Step 6: Final answer
    x = 11,826.27

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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.