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Finding the Fourth Proportional to 8,668.86, 13,004.90 and 3,475.14

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Solution

The fourth proportional to 8,668.86, 13,004.90 and 3,475.14 is: 5,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.86 : 13,004.90 = 3,475.14 : x
  2. Step 2: Convert to fraction form
    8,668.86/13,004.90 = 3,475.14/x
  3. Step 3: Cross multiply
    8,668.86x = 13,004.90 × 3,475.14
  4. Step 4: Simplify right side
    8,668.86x = 45,193,848.19
  5. Step 5: Solve for x
    x = 45,193,848.19/8,668.86
  6. Step 6: Final answer
    x = 5,213.36

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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.