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Finding the Fourth Proportional to 12,129.67, 16,738.94 and 6,824.47

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Solution

The fourth proportional to 12,129.67, 16,738.94 and 6,824.47 is: 9,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.67 : 16,738.94 = 6,824.47 : x
  2. Step 2: Convert to fraction form
    12,129.67/16,738.94 = 6,824.47/x
  3. Step 3: Cross multiply
    12,129.67x = 16,738.94 × 6,824.47
  4. Step 4: Simplify right side
    12,129.67x = 114,234,359.74
  5. Step 5: Solve for x
    x = 114,234,359.74/12,129.67
  6. Step 6: Final answer
    x = 9,417.76

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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.