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Finding the Fourth Proportional to 15,766.21, 21,756.92 and 8,692.64

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Solution

The fourth proportional to 15,766.21, 21,756.92 and 8,692.64 is: 11,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.21 : 21,756.92 = 8,692.64 : x
  2. Step 2: Convert to fraction form
    15,766.21/21,756.92 = 8,692.64/x
  3. Step 3: Cross multiply
    15,766.21x = 21,756.92 × 8,692.64
  4. Step 4: Simplify right side
    15,766.21x = 189,125,073.07
  5. Step 5: Solve for x
    x = 189,125,073.07/15,766.21
  6. Step 6: Final answer
    x = 11,995.60

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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.