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Finding the Fourth Proportional to 8,782, 13,161.52 and 7,668.62

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Solution

The fourth proportional to 8,782, 13,161.52 and 7,668.62 is: 11,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782 : 13,161.52 = 7,668.62 : x
  2. Step 2: Convert to fraction form
    8,782/13,161.52 = 7,668.62/x
  3. Step 3: Cross multiply
    8,782x = 13,161.52 × 7,668.62
  4. Step 4: Simplify right side
    8,782x = 100,930,695.50
  5. Step 5: Solve for x
    x = 100,930,695.50/8,782
  6. Step 6: Final answer
    x = 11,492.91

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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.