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Finding the Fourth Proportional to 12,682, 17,501.16 and 7,376.50

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Solution

The fourth proportional to 12,682, 17,501.16 and 7,376.50 is: 10,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682 : 17,501.16 = 7,376.50 : x
  2. Step 2: Convert to fraction form
    12,682/17,501.16 = 7,376.50/x
  3. Step 3: Cross multiply
    12,682x = 17,501.16 × 7,376.50
  4. Step 4: Simplify right side
    12,682x = 129,097,306.74
  5. Step 5: Solve for x
    x = 129,097,306.74/12,682
  6. Step 6: Final answer
    x = 10,179.57

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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.