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Finding the Fourth Proportional to 12,472, 17,211.42 and 6,883.36

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Solution

The fourth proportional to 12,472, 17,211.42 and 6,883.36 is: 9,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472 : 17,211.42 = 6,883.36 : x
  2. Step 2: Convert to fraction form
    12,472/17,211.42 = 6,883.36/x
  3. Step 3: Cross multiply
    12,472x = 17,211.42 × 6,883.36
  4. Step 4: Simplify right side
    12,472x = 118,472,399.97
  5. Step 5: Solve for x
    x = 118,472,399.97/12,472
  6. Step 6: Final answer
    x = 9,499.07

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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.