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Finding the Fourth Proportional to 28,814.50, 43,221.75 and 9,358.50

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Solution

The fourth proportional to 28,814.50, 43,221.75 and 9,358.50 is: 14,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,814.50 : 43,221.75 = 9,358.50 : x
  2. Step 2: Convert to fraction form
    28,814.50/43,221.75 = 9,358.50/x
  3. Step 3: Cross multiply
    28,814.50x = 43,221.75 × 9,358.50
  4. Step 4: Simplify right side
    28,814.50x = 404,490,747.38
  5. Step 5: Solve for x
    x = 404,490,747.38/28,814.50
  6. Step 6: Final answer
    x = 14,037.75

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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.