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Finding the Fourth Proportional to 11,505, 17,261.55 and 5,665.71

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Solution

The fourth proportional to 11,505, 17,261.55 and 5,665.71 is: 8,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 17,261.55 = 5,665.71 : x
  2. Step 2: Convert to fraction form
    11,505/17,261.55 = 5,665.71/x
  3. Step 3: Cross multiply
    11,505x = 17,261.55 × 5,665.71
  4. Step 4: Simplify right side
    11,505x = 97,798,936.45
  5. Step 5: Solve for x
    x = 97,798,936.45/11,505
  6. Step 6: Final answer
    x = 8,500.56

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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.