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Finding the Fourth Proportional to 8,379.81, 12,569.99 and 2,536.47

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Solution

The fourth proportional to 8,379.81, 12,569.99 and 2,536.47 is: 3,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.81 : 12,569.99 = 2,536.47 : x
  2. Step 2: Convert to fraction form
    8,379.81/12,569.99 = 2,536.47/x
  3. Step 3: Cross multiply
    8,379.81x = 12,569.99 × 2,536.47
  4. Step 4: Simplify right side
    8,379.81x = 31,883,389.85
  5. Step 5: Solve for x
    x = 31,883,389.85/8,379.81
  6. Step 6: Final answer
    x = 3,804.79

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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.