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Finding the Fourth Proportional to 12,223.47, 16,868.41 and 6,634.47

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Solution

The fourth proportional to 12,223.47, 16,868.41 and 6,634.47 is: 9,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.47 : 16,868.41 = 6,634.47 : x
  2. Step 2: Convert to fraction form
    12,223.47/16,868.41 = 6,634.47/x
  3. Step 3: Cross multiply
    12,223.47x = 16,868.41 × 6,634.47
  4. Step 4: Simplify right side
    12,223.47x = 111,912,960.09
  5. Step 5: Solve for x
    x = 111,912,960.09/12,223.47
  6. Step 6: Final answer
    x = 9,155.58

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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.