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Finding the Fourth Proportional to 10,728.53, 14,801.06 and 6,692.98

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Solution

The fourth proportional to 10,728.53, 14,801.06 and 6,692.98 is: 9,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.53 : 14,801.06 = 6,692.98 : x
  2. Step 2: Convert to fraction form
    10,728.53/14,801.06 = 6,692.98/x
  3. Step 3: Cross multiply
    10,728.53x = 14,801.06 × 6,692.98
  4. Step 4: Simplify right side
    10,728.53x = 99,063,198.56
  5. Step 5: Solve for x
    x = 99,063,198.56/10,728.53
  6. Step 6: Final answer
    x = 9,233.62

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1.5x scale

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.