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Finding the Fourth Proportional to 12,763.32, 17,613.23 and 7,174.32

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Solution

The fourth proportional to 12,763.32, 17,613.23 and 7,174.32 is: 9,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.32 : 17,613.23 = 7,174.32 : x
  2. Step 2: Convert to fraction form
    12,763.32/17,613.23 = 7,174.32/x
  3. Step 3: Cross multiply
    12,763.32x = 17,613.23 × 7,174.32
  4. Step 4: Simplify right side
    12,763.32x = 126,362,912.38
  5. Step 5: Solve for x
    x = 126,362,912.38/12,763.32
  6. Step 6: Final answer
    x = 9,900.47

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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.