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Finding the Fourth Proportional to 12,175.05, 16,805.70 and 7,397.67

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Solution

The fourth proportional to 12,175.05, 16,805.70 and 7,397.67 is: 10,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.05 : 16,805.70 = 7,397.67 : x
  2. Step 2: Convert to fraction form
    12,175.05/16,805.70 = 7,397.67/x
  3. Step 3: Cross multiply
    12,175.05x = 16,805.70 × 7,397.67
  4. Step 4: Simplify right side
    12,175.05x = 124,323,022.72
  5. Step 5: Solve for x
    x = 124,323,022.72/12,175.05
  6. Step 6: Final answer
    x = 10,211.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.