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Finding the Fourth Proportional to 10,997.70, 16,496.55 and 9,077.70

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Solution

The fourth proportional to 10,997.70, 16,496.55 and 9,077.70 is: 13,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.70 : 16,496.55 = 9,077.70 : x
  2. Step 2: Convert to fraction form
    10,997.70/16,496.55 = 9,077.70/x
  3. Step 3: Cross multiply
    10,997.70x = 16,496.55 × 9,077.70
  4. Step 4: Simplify right side
    10,997.70x = 149,750,731.94
  5. Step 5: Solve for x
    x = 149,750,731.94/10,997.70
  6. Step 6: Final answer
    x = 13,616.55

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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.