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Finding the Fourth Proportional to 12,083.56, 16,657.84 and 8,487.60

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Solution

The fourth proportional to 12,083.56, 16,657.84 and 8,487.60 is: 11,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.56 : 16,657.84 = 8,487.60 : x
  2. Step 2: Convert to fraction form
    12,083.56/16,657.84 = 8,487.60/x
  3. Step 3: Cross multiply
    12,083.56x = 16,657.84 × 8,487.60
  4. Step 4: Simplify right side
    12,083.56x = 141,385,082.78
  5. Step 5: Solve for x
    x = 141,385,082.78/12,083.56
  6. Step 6: Final answer
    x = 11,700.61

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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.