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Finding the Fourth Proportional to 11,721, 17,585.82 and 6,174.12

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Solution

The fourth proportional to 11,721, 17,585.82 and 6,174.12 is: 9,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721 : 17,585.82 = 6,174.12 : x
  2. Step 2: Convert to fraction form
    11,721/17,585.82 = 6,174.12/x
  3. Step 3: Cross multiply
    11,721x = 17,585.82 × 6,174.12
  4. Step 4: Simplify right side
    11,721x = 108,576,962.98
  5. Step 5: Solve for x
    x = 108,576,962.98/11,721
  6. Step 6: Final answer
    x = 9,263.46

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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.