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Finding the Fourth Proportional to 7,709.87, 11,563.86 and 3,323.72

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Solution

The fourth proportional to 7,709.87, 11,563.86 and 3,323.72 is: 4,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.87 : 11,563.86 = 3,323.72 : x
  2. Step 2: Convert to fraction form
    7,709.87/11,563.86 = 3,323.72/x
  3. Step 3: Cross multiply
    7,709.87x = 11,563.86 × 3,323.72
  4. Step 4: Simplify right side
    7,709.87x = 38,435,032.76
  5. Step 5: Solve for x
    x = 38,435,032.76/7,709.87
  6. Step 6: Final answer
    x = 4,985.17

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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.