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Finding the Fourth Proportional to 12,000.96, 16,561.27 and 6,695.78

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Solution

The fourth proportional to 12,000.96, 16,561.27 and 6,695.78 is: 9,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.96 : 16,561.27 = 6,695.78 : x
  2. Step 2: Convert to fraction form
    12,000.96/16,561.27 = 6,695.78/x
  3. Step 3: Cross multiply
    12,000.96x = 16,561.27 × 6,695.78
  4. Step 4: Simplify right side
    12,000.96x = 110,890,620.44
  5. Step 5: Solve for x
    x = 110,890,620.44/12,000.96
  6. Step 6: Final answer
    x = 9,240.15

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Double scale
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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.