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Finding the Fourth Proportional to 14,692.75, 20,276 and 8,405.13

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Solution

The fourth proportional to 14,692.75, 20,276 and 8,405.13 is: 11,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.75 : 20,276 = 8,405.13 : x
  2. Step 2: Convert to fraction form
    14,692.75/20,276 = 8,405.13/x
  3. Step 3: Cross multiply
    14,692.75x = 20,276 × 8,405.13
  4. Step 4: Simplify right side
    14,692.75x = 170,422,415.88
  5. Step 5: Solve for x
    x = 170,422,415.88/14,692.75
  6. Step 6: Final answer
    x = 11,599.08

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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.