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Finding the Fourth Proportional to 7,782.76, 11,676.30 and 3,281.80

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Solution

The fourth proportional to 7,782.76, 11,676.30 and 3,281.80 is: 4,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.76 : 11,676.30 = 3,281.80 : x
  2. Step 2: Convert to fraction form
    7,782.76/11,676.30 = 3,281.80/x
  3. Step 3: Cross multiply
    7,782.76x = 11,676.30 × 3,281.80
  4. Step 4: Simplify right side
    7,782.76x = 38,319,281.34
  5. Step 5: Solve for x
    x = 38,319,281.34/7,782.76
  6. Step 6: Final answer
    x = 4,923.61

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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.