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Finding the Fourth Proportional to 20,697.69, 31,043.97 and 5,907.90

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Solution

The fourth proportional to 20,697.69, 31,043.97 and 5,907.90 is: 8,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.69 : 31,043.97 = 5,907.90 : x
  2. Step 2: Convert to fraction form
    20,697.69/31,043.97 = 5,907.90/x
  3. Step 3: Cross multiply
    20,697.69x = 31,043.97 × 5,907.90
  4. Step 4: Simplify right side
    20,697.69x = 183,404,670.36
  5. Step 5: Solve for x
    x = 183,404,670.36/20,697.69
  6. Step 6: Final answer
    x = 8,861.12

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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.