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Finding the Fourth Proportional to 15,677.49, 21,634.59 and 8,963.49

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Solution

The fourth proportional to 15,677.49, 21,634.59 and 8,963.49 is: 12,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.49 : 21,634.59 = 8,963.49 : x
  2. Step 2: Convert to fraction form
    15,677.49/21,634.59 = 8,963.49/x
  3. Step 3: Cross multiply
    15,677.49x = 21,634.59 × 8,963.49
  4. Step 4: Simplify right side
    15,677.49x = 193,921,431.12
  5. Step 5: Solve for x
    x = 193,921,431.12/15,677.49
  6. Step 6: Final answer
    x = 12,369.42

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1.5x scale

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.