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Finding the Fourth Proportional to 7,719.65, 11,551.79 and 6,683.22

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Solution

The fourth proportional to 7,719.65, 11,551.79 and 6,683.22 is: 10,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.65 : 11,551.79 = 6,683.22 : x
  2. Step 2: Convert to fraction form
    7,719.65/11,551.79 = 6,683.22/x
  3. Step 3: Cross multiply
    7,719.65x = 11,551.79 × 6,683.22
  4. Step 4: Simplify right side
    7,719.65x = 77,203,127.35
  5. Step 5: Solve for x
    x = 77,203,127.35/7,719.65
  6. Step 6: Final answer
    x = 10,000.86

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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.