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Finding the Fourth Proportional to 8,659, 12,977.54 and 5,537.80

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Solution

The fourth proportional to 8,659, 12,977.54 and 5,537.80 is: 8,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659 : 12,977.54 = 5,537.80 : x
  2. Step 2: Convert to fraction form
    8,659/12,977.54 = 5,537.80/x
  3. Step 3: Cross multiply
    8,659x = 12,977.54 × 5,537.80
  4. Step 4: Simplify right side
    8,659x = 71,867,021.01
  5. Step 5: Solve for x
    x = 71,867,021.01/8,659
  6. Step 6: Final answer
    x = 8,299.69

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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.