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Finding the Fourth Proportional to 11,000.10, 16,500.15 and 9,768.90

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Solution

The fourth proportional to 11,000.10, 16,500.15 and 9,768.90 is: 14,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.10 : 16,500.15 = 9,768.90 : x
  2. Step 2: Convert to fraction form
    11,000.10/16,500.15 = 9,768.90/x
  3. Step 3: Cross multiply
    11,000.10x = 16,500.15 × 9,768.90
  4. Step 4: Simplify right side
    11,000.10x = 161,188,315.34
  5. Step 5: Solve for x
    x = 161,188,315.34/11,000.10
  6. Step 6: Final answer
    x = 14,653.35

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Similar ratio
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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.