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Finding the Fourth Proportional to 11,739, 17,614.23 and 5,164.36

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Solution

The fourth proportional to 11,739, 17,614.23 and 5,164.36 is: 7,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739 : 17,614.23 = 5,164.36 : x
  2. Step 2: Convert to fraction form
    11,739/17,614.23 = 5,164.36/x
  3. Step 3: Cross multiply
    11,739x = 17,614.23 × 5,164.36
  4. Step 4: Simplify right side
    11,739x = 90,966,224.84
  5. Step 5: Solve for x
    x = 90,966,224.84/11,739
  6. Step 6: Final answer
    x = 7,749.06

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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.