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Finding the Fourth Proportional to 10,720.86, 14,794.14 and 5,940.70

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Solution

The fourth proportional to 10,720.86, 14,794.14 and 5,940.70 is: 8,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.86 : 14,794.14 = 5,940.70 : x
  2. Step 2: Convert to fraction form
    10,720.86/14,794.14 = 5,940.70/x
  3. Step 3: Cross multiply
    10,720.86x = 14,794.14 × 5,940.70
  4. Step 4: Simplify right side
    10,720.86x = 87,887,636.81
  5. Step 5: Solve for x
    x = 87,887,636.81/10,720.86
  6. Step 6: Final answer
    x = 8,197.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.