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Finding the Fourth Proportional to 17,580.81, 26,379.87 and 8,221.47

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Solution

The fourth proportional to 17,580.81, 26,379.87 and 8,221.47 is: 12,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.81 : 26,379.87 = 8,221.47 : x
  2. Step 2: Convert to fraction form
    17,580.81/26,379.87 = 8,221.47/x
  3. Step 3: Cross multiply
    17,580.81x = 26,379.87 × 8,221.47
  4. Step 4: Simplify right side
    17,580.81x = 216,881,309.81
  5. Step 5: Solve for x
    x = 216,881,309.81/17,580.81
  6. Step 6: Final answer
    x = 12,336.25

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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.