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Finding the Fourth Proportional to 8,668.62, 13,003.89 and 4,771.02

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Solution

The fourth proportional to 8,668.62, 13,003.89 and 4,771.02 is: 7,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.62 : 13,003.89 = 4,771.02 : x
  2. Step 2: Convert to fraction form
    8,668.62/13,003.89 = 4,771.02/x
  3. Step 3: Cross multiply
    8,668.62x = 13,003.89 × 4,771.02
  4. Step 4: Simplify right side
    8,668.62x = 62,041,819.27
  5. Step 5: Solve for x
    x = 62,041,819.27/8,668.62
  6. Step 6: Final answer
    x = 7,157.06

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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.