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Finding the Fourth Proportional to 8,174.85, 12,264.09 and 2,980.72

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Solution

The fourth proportional to 8,174.85, 12,264.09 and 2,980.72 is: 4,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.85 : 12,264.09 = 2,980.72 : x
  2. Step 2: Convert to fraction form
    8,174.85/12,264.09 = 2,980.72/x
  3. Step 3: Cross multiply
    8,174.85x = 12,264.09 × 2,980.72
  4. Step 4: Simplify right side
    8,174.85x = 36,555,818.34
  5. Step 5: Solve for x
    x = 36,555,818.34/8,174.85
  6. Step 6: Final answer
    x = 4,471.74

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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.