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Finding the Fourth Proportional to 9,378, 14,067 and 5,684.40

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Solution

The fourth proportional to 9,378, 14,067 and 5,684.40 is: 8,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 14,067 = 5,684.40 : x
  2. Step 2: Convert to fraction form
    9,378/14,067 = 5,684.40/x
  3. Step 3: Cross multiply
    9,378x = 14,067 × 5,684.40
  4. Step 4: Simplify right side
    9,378x = 79,962,454.80
  5. Step 5: Solve for x
    x = 79,962,454.80/9,378
  6. Step 6: Final answer
    x = 8,526.60

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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.