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Finding the Fourth Proportional to 20,853.76, 31,251.12 and 7,692.88

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Solution

The fourth proportional to 20,853.76, 31,251.12 and 7,692.88 is: 11,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.76 : 31,251.12 = 7,692.88 : x
  2. Step 2: Convert to fraction form
    20,853.76/31,251.12 = 7,692.88/x
  3. Step 3: Cross multiply
    20,853.76x = 31,251.12 × 7,692.88
  4. Step 4: Simplify right side
    20,853.76x = 240,411,116.03
  5. Step 5: Solve for x
    x = 240,411,116.03/20,853.76
  6. Step 6: Final answer
    x = 11,528.43

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1.5x scale

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.