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Finding the Fourth Proportional to 7,783.63, 11,668.96 and 3,621.44

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Solution

The fourth proportional to 7,783.63, 11,668.96 and 3,621.44 is: 5,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.63 : 11,668.96 = 3,621.44 : x
  2. Step 2: Convert to fraction form
    7,783.63/11,668.96 = 3,621.44/x
  3. Step 3: Cross multiply
    7,783.63x = 11,668.96 × 3,621.44
  4. Step 4: Simplify right side
    7,783.63x = 42,258,472.20
  5. Step 5: Solve for x
    x = 42,258,472.20/7,783.63
  6. Step 6: Final answer
    x = 5,429.15

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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.