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Finding the Fourth Proportional to 11,391, 17,074.74 and 4,369.38

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Solution

The fourth proportional to 11,391, 17,074.74 and 4,369.38 is: 6,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391 : 17,074.74 = 4,369.38 : x
  2. Step 2: Convert to fraction form
    11,391/17,074.74 = 4,369.38/x
  3. Step 3: Cross multiply
    11,391x = 17,074.74 × 4,369.38
  4. Step 4: Simplify right side
    11,391x = 74,606,027.46
  5. Step 5: Solve for x
    x = 74,606,027.46/11,391
  6. Step 6: Final answer
    x = 6,549.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.