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Finding the Fourth Proportional to 14,425.39, 21,640.72 and 6,634

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Solution

The fourth proportional to 14,425.39, 21,640.72 and 6,634 is: 9,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.39 : 21,640.72 = 6,634 : x
  2. Step 2: Convert to fraction form
    14,425.39/21,640.72 = 6,634/x
  3. Step 3: Cross multiply
    14,425.39x = 21,640.72 × 6,634
  4. Step 4: Simplify right side
    14,425.39x = 143,564,536.48
  5. Step 5: Solve for x
    x = 143,564,536.48/14,425.39
  6. Step 6: Final answer
    x = 9,952.21

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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.