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Finding the Fourth Proportional to 9,890.76, 14,814 and 8,556.96

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Solution

The fourth proportional to 9,890.76, 14,814 and 8,556.96 is: 12,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.76 : 14,814 = 8,556.96 : x
  2. Step 2: Convert to fraction form
    9,890.76/14,814 = 8,556.96/x
  3. Step 3: Cross multiply
    9,890.76x = 14,814 × 8,556.96
  4. Step 4: Simplify right side
    9,890.76x = 126,762,805.44
  5. Step 5: Solve for x
    x = 126,762,805.44/9,890.76
  6. Step 6: Final answer
    x = 12,816.29

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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.