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Finding the Fourth Proportional to 15,692.82, 21,656.61 and 8,619.90

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Solution

The fourth proportional to 15,692.82, 21,656.61 and 8,619.90 is: 11,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.82 : 21,656.61 = 8,619.90 : x
  2. Step 2: Convert to fraction form
    15,692.82/21,656.61 = 8,619.90/x
  3. Step 3: Cross multiply
    15,692.82x = 21,656.61 × 8,619.90
  4. Step 4: Simplify right side
    15,692.82x = 186,677,812.54
  5. Step 5: Solve for x
    x = 186,677,812.54/15,692.82
  6. Step 6: Final answer
    x = 11,895.75

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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.