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Finding the Fourth Proportional to 8,537.63, 12,812.22 and 2,991.02

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Solution

The fourth proportional to 8,537.63, 12,812.22 and 2,991.02 is: 4,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.63 : 12,812.22 = 2,991.02 : x
  2. Step 2: Convert to fraction form
    8,537.63/12,812.22 = 2,991.02/x
  3. Step 3: Cross multiply
    8,537.63x = 12,812.22 × 2,991.02
  4. Step 4: Simplify right side
    8,537.63x = 38,321,542.20
  5. Step 5: Solve for x
    x = 38,321,542.20/8,537.63
  6. Step 6: Final answer
    x = 4,488.55

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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.