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Finding the Fourth Proportional to 30,635.70, 45,956.40 and 11,917.17

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Solution

The fourth proportional to 30,635.70, 45,956.40 and 11,917.17 is: 17,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.70 : 45,956.40 = 11,917.17 : x
  2. Step 2: Convert to fraction form
    30,635.70/45,956.40 = 11,917.17/x
  3. Step 3: Cross multiply
    30,635.70x = 45,956.40 × 11,917.17
  4. Step 4: Simplify right side
    30,635.70x = 547,670,231.39
  5. Step 5: Solve for x
    x = 547,670,231.39/30,635.70
  6. Step 6: Final answer
    x = 17,876.86

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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.