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Finding the Fourth Proportional to 7,900.47, 11,857.19 and 4,005.99

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Solution

The fourth proportional to 7,900.47, 11,857.19 and 4,005.99 is: 6,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.47 : 11,857.19 = 4,005.99 : x
  2. Step 2: Convert to fraction form
    7,900.47/11,857.19 = 4,005.99/x
  3. Step 3: Cross multiply
    7,900.47x = 11,857.19 × 4,005.99
  4. Step 4: Simplify right side
    7,900.47x = 47,499,764.54
  5. Step 5: Solve for x
    x = 47,499,764.54/7,900.47
  6. Step 6: Final answer
    x = 6,012.27

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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.