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Finding the Fourth Proportional to 9,794, 13,515.72 and 5,378

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Solution

The fourth proportional to 9,794, 13,515.72 and 5,378 is: 7,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 13,515.72 = 5,378 : x
  2. Step 2: Convert to fraction form
    9,794/13,515.72 = 5,378/x
  3. Step 3: Cross multiply
    9,794x = 13,515.72 × 5,378
  4. Step 4: Simplify right side
    9,794x = 72,687,542.16
  5. Step 5: Solve for x
    x = 72,687,542.16/9,794
  6. Step 6: Final answer
    x = 7,421.64

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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.