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Finding the Fourth Proportional to 8,579.90, 12,871.06 and 4,197.60

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Solution

The fourth proportional to 8,579.90, 12,871.06 and 4,197.60 is: 6,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.90 : 12,871.06 = 4,197.60 : x
  2. Step 2: Convert to fraction form
    8,579.90/12,871.06 = 4,197.60/x
  3. Step 3: Cross multiply
    8,579.90x = 12,871.06 × 4,197.60
  4. Step 4: Simplify right side
    8,579.90x = 54,027,561.46
  5. Step 5: Solve for x
    x = 54,027,561.46/8,579.90
  6. Step 6: Final answer
    x = 6,296.99

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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.