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Finding the Fourth Proportional to 9,689.84, 14,520 and 3,843.44

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Solution

The fourth proportional to 9,689.84, 14,520 and 3,843.44 is: 5,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.84 : 14,520 = 3,843.44 : x
  2. Step 2: Convert to fraction form
    9,689.84/14,520 = 3,843.44/x
  3. Step 3: Cross multiply
    9,689.84x = 14,520 × 3,843.44
  4. Step 4: Simplify right side
    9,689.84x = 55,806,748.80
  5. Step 5: Solve for x
    x = 55,806,748.80/9,689.84
  6. Step 6: Final answer
    x = 5,759.31

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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.