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Finding the Fourth Proportional to 31,821.50, 47,733.42 and 9,636.68

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Solution

The fourth proportional to 31,821.50, 47,733.42 and 9,636.68 is: 14,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.50 : 47,733.42 = 9,636.68 : x
  2. Step 2: Convert to fraction form
    31,821.50/47,733.42 = 9,636.68/x
  3. Step 3: Cross multiply
    31,821.50x = 47,733.42 × 9,636.68
  4. Step 4: Simplify right side
    31,821.50x = 459,991,693.85
  5. Step 5: Solve for x
    x = 459,991,693.85/31,821.50
  6. Step 6: Final answer
    x = 14,455.37

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