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Finding the Fourth Proportional to 7,602.03, 11,405.94 and 3,218.31

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Solution

The fourth proportional to 7,602.03, 11,405.94 and 3,218.31 is: 4,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.03 : 11,405.94 = 3,218.31 : x
  2. Step 2: Convert to fraction form
    7,602.03/11,405.94 = 3,218.31/x
  3. Step 3: Cross multiply
    7,602.03x = 11,405.94 × 3,218.31
  4. Step 4: Simplify right side
    7,602.03x = 36,707,850.76
  5. Step 5: Solve for x
    x = 36,707,850.76/7,602.03
  6. Step 6: Final answer
    x = 4,828.69

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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.