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Finding the Fourth Proportional to 9,794, 13,515.66 and 5,317.71

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Solution

The fourth proportional to 9,794, 13,515.66 and 5,317.71 is: 7,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 13,515.66 = 5,317.71 : x
  2. Step 2: Convert to fraction form
    9,794/13,515.66 = 5,317.71/x
  3. Step 3: Cross multiply
    9,794x = 13,515.66 × 5,317.71
  4. Step 4: Simplify right side
    9,794x = 71,872,360.34
  5. Step 5: Solve for x
    x = 71,872,360.34/9,794
  6. Step 6: Final answer
    x = 7,338.41

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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.