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Finding the Fourth Proportional to 9,997.70, 13,799.49 and 5,749.22

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Solution

The fourth proportional to 9,997.70, 13,799.49 and 5,749.22 is: 7,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.70 : 13,799.49 = 5,749.22 : x
  2. Step 2: Convert to fraction form
    9,997.70/13,799.49 = 5,749.22/x
  3. Step 3: Cross multiply
    9,997.70x = 13,799.49 × 5,749.22
  4. Step 4: Simplify right side
    9,997.70x = 79,336,349.18
  5. Step 5: Solve for x
    x = 79,336,349.18/9,997.70
  6. Step 6: Final answer
    x = 7,935.46

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Similar ratio
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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.