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Finding the Fourth Proportional to 9,749.70, 13,449.78 and 5,768.28

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Solution

The fourth proportional to 9,749.70, 13,449.78 and 5,768.28 is: 7,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.70 : 13,449.78 = 5,768.28 : x
  2. Step 2: Convert to fraction form
    9,749.70/13,449.78 = 5,768.28/x
  3. Step 3: Cross multiply
    9,749.70x = 13,449.78 × 5,768.28
  4. Step 4: Simplify right side
    9,749.70x = 77,582,096.98
  5. Step 5: Solve for x
    x = 77,582,096.98/9,749.70
  6. Step 6: Final answer
    x = 7,957.38

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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.