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Finding the Fourth Proportional to 8,761.54, 13,144.03 and 3,214.93

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Solution

The fourth proportional to 8,761.54, 13,144.03 and 3,214.93 is: 4,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.54 : 13,144.03 = 3,214.93 : x
  2. Step 2: Convert to fraction form
    8,761.54/13,144.03 = 3,214.93/x
  3. Step 3: Cross multiply
    8,761.54x = 13,144.03 × 3,214.93
  4. Step 4: Simplify right side
    8,761.54x = 42,257,136.37
  5. Step 5: Solve for x
    x = 42,257,136.37/8,761.54
  6. Step 6: Final answer
    x = 4,823.03

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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.