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Finding the Fourth Proportional to 7,605, 11,405.34 and 3,222.36

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Solution

The fourth proportional to 7,605, 11,405.34 and 3,222.36 is: 4,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605 : 11,405.34 = 3,222.36 : x
  2. Step 2: Convert to fraction form
    7,605/11,405.34 = 3,222.36/x
  3. Step 3: Cross multiply
    7,605x = 11,405.34 × 3,222.36
  4. Step 4: Simplify right side
    7,605x = 36,752,111.40
  5. Step 5: Solve for x
    x = 36,752,111.40/7,605
  6. Step 6: Final answer
    x = 4,832.62

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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.