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Finding the Fourth Proportional to 12,434, 17,159.16 and 6,845

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Solution

The fourth proportional to 12,434, 17,159.16 and 6,845 is: 9,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 17,159.16 = 6,845 : x
  2. Step 2: Convert to fraction form
    12,434/17,159.16 = 6,845/x
  3. Step 3: Cross multiply
    12,434x = 17,159.16 × 6,845
  4. Step 4: Simplify right side
    12,434x = 117,454,450.20
  5. Step 5: Solve for x
    x = 117,454,450.20/12,434
  6. Step 6: Final answer
    x = 9,446.23

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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.