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Finding the Fourth Proportional to 7,762.09, 11,638.11 and 3,322.65

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Solution

The fourth proportional to 7,762.09, 11,638.11 and 3,322.65 is: 4,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.09 : 11,638.11 = 3,322.65 : x
  2. Step 2: Convert to fraction form
    7,762.09/11,638.11 = 3,322.65/x
  3. Step 3: Cross multiply
    7,762.09x = 11,638.11 × 3,322.65
  4. Step 4: Simplify right side
    7,762.09x = 38,669,366.19
  5. Step 5: Solve for x
    x = 38,669,366.19/7,762.09
  6. Step 6: Final answer
    x = 4,981.82

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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.