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Finding the Fourth Proportional to 13,692.35, 20,529.95 and 6,287.31

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Solution

The fourth proportional to 13,692.35, 20,529.95 and 6,287.31 is: 9,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.35 : 20,529.95 = 6,287.31 : x
  2. Step 2: Convert to fraction form
    13,692.35/20,529.95 = 6,287.31/x
  3. Step 3: Cross multiply
    13,692.35x = 20,529.95 × 6,287.31
  4. Step 4: Simplify right side
    13,692.35x = 129,078,128.50
  5. Step 5: Solve for x
    x = 129,078,128.50/13,692.35
  6. Step 6: Final answer
    x = 9,427.02

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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.