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Finding the Fourth Proportional to 12,129.49, 16,738.49 and 6,824.27

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Solution

The fourth proportional to 12,129.49, 16,738.49 and 6,824.27 is: 9,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.49 : 16,738.49 = 6,824.27 : x
  2. Step 2: Convert to fraction form
    12,129.49/16,738.49 = 6,824.27/x
  3. Step 3: Cross multiply
    12,129.49x = 16,738.49 × 6,824.27
  4. Step 4: Simplify right side
    12,129.49x = 114,227,908.52
  5. Step 5: Solve for x
    x = 114,227,908.52/12,129.49
  6. Step 6: Final answer
    x = 9,417.37

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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.