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Finding the Fourth Proportional to 11,693.70, 16,142.37 and 7,927.79

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Solution

The fourth proportional to 11,693.70, 16,142.37 and 7,927.79 is: 10,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.70 : 16,142.37 = 7,927.79 : x
  2. Step 2: Convert to fraction form
    11,693.70/16,142.37 = 7,927.79/x
  3. Step 3: Cross multiply
    11,693.70x = 16,142.37 × 7,927.79
  4. Step 4: Simplify right side
    11,693.70x = 127,973,285.58
  5. Step 5: Solve for x
    x = 127,973,285.58/11,693.70
  6. Step 6: Final answer
    x = 10,943.78

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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.