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Finding the Fourth Proportional to 12,119.60, 16,724.76 and 7,927.76

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Solution

The fourth proportional to 12,119.60, 16,724.76 and 7,927.76 is: 10,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.60 : 16,724.76 = 7,927.76 : x
  2. Step 2: Convert to fraction form
    12,119.60/16,724.76 = 7,927.76/x
  3. Step 3: Cross multiply
    12,119.60x = 16,724.76 × 7,927.76
  4. Step 4: Simplify right side
    12,119.60x = 132,589,883.34
  5. Step 5: Solve for x
    x = 132,589,883.34/12,119.60
  6. Step 6: Final answer
    x = 10,940.12

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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.