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Finding the Fourth Proportional to 15,766, 21,757.08 and 8,692.40

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Solution

The fourth proportional to 15,766, 21,757.08 and 8,692.40 is: 11,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766 : 21,757.08 = 8,692.40 : x
  2. Step 2: Convert to fraction form
    15,766/21,757.08 = 8,692.40/x
  3. Step 3: Cross multiply
    15,766x = 21,757.08 × 8,692.40
  4. Step 4: Simplify right side
    15,766x = 189,121,242.19
  5. Step 5: Solve for x
    x = 189,121,242.19/15,766
  6. Step 6: Final answer
    x = 11,995.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.