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Finding the Fourth Proportional to 7,900.48, 11,854.83 and 3,223.94

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Solution

The fourth proportional to 7,900.48, 11,854.83 and 3,223.94 is: 4,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.48 : 11,854.83 = 3,223.94 : x
  2. Step 2: Convert to fraction form
    7,900.48/11,854.83 = 3,223.94/x
  3. Step 3: Cross multiply
    7,900.48x = 11,854.83 × 3,223.94
  4. Step 4: Simplify right side
    7,900.48x = 38,219,260.63
  5. Step 5: Solve for x
    x = 38,219,260.63/7,900.48
  6. Step 6: Final answer
    x = 4,837.59

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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.