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Finding the Fourth Proportional to 12,371, 17,071.98 and 6,782

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Solution

The fourth proportional to 12,371, 17,071.98 and 6,782 is: 9,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371 : 17,071.98 = 6,782 : x
  2. Step 2: Convert to fraction form
    12,371/17,071.98 = 6,782/x
  3. Step 3: Cross multiply
    12,371x = 17,071.98 × 6,782
  4. Step 4: Simplify right side
    12,371x = 115,782,168.36
  5. Step 5: Solve for x
    x = 115,782,168.36/12,371
  6. Step 6: Final answer
    x = 9,359.16

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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.