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Finding the Fourth Proportional to 11,693.70, 17,553.78 and 7,313.76

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Solution

The fourth proportional to 11,693.70, 17,553.78 and 7,313.76 is: 10,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.70 : 17,553.78 = 7,313.76 : x
  2. Step 2: Convert to fraction form
    11,693.70/17,553.78 = 7,313.76/x
  3. Step 3: Cross multiply
    11,693.70x = 17,553.78 × 7,313.76
  4. Step 4: Simplify right side
    11,693.70x = 128,384,134.01
  5. Step 5: Solve for x
    x = 128,384,134.01/11,693.70
  6. Step 6: Final answer
    x = 10,978.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.