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Finding the Fourth Proportional to 8,379.80, 12,572 and 2,536.64

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Solution

The fourth proportional to 8,379.80, 12,572 and 2,536.64 is: 3,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.80 : 12,572 = 2,536.64 : x
  2. Step 2: Convert to fraction form
    8,379.80/12,572 = 2,536.64/x
  3. Step 3: Cross multiply
    8,379.80x = 12,572 × 2,536.64
  4. Step 4: Simplify right side
    8,379.80x = 31,890,638.08
  5. Step 5: Solve for x
    x = 31,890,638.08/8,379.80
  6. Step 6: Final answer
    x = 3,805.66

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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.