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Finding the Fourth Proportional to 30,358.82, 45,538.50 and 11,634.40

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Solution

The fourth proportional to 30,358.82, 45,538.50 and 11,634.40 is: 17,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358.82 : 45,538.50 = 11,634.40 : x
  2. Step 2: Convert to fraction form
    30,358.82/45,538.50 = 11,634.40/x
  3. Step 3: Cross multiply
    30,358.82x = 45,538.50 × 11,634.40
  4. Step 4: Simplify right side
    30,358.82x = 529,813,124.40
  5. Step 5: Solve for x
    x = 529,813,124.40/30,358.82
  6. Step 6: Final answer
    x = 17,451.70

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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.