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Finding the Fourth Proportional to 8,656.48, 12,990 and 3,461.44

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Solution

The fourth proportional to 8,656.48, 12,990 and 3,461.44 is: 5,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.48 : 12,990 = 3,461.44 : x
  2. Step 2: Convert to fraction form
    8,656.48/12,990 = 3,461.44/x
  3. Step 3: Cross multiply
    8,656.48x = 12,990 × 3,461.44
  4. Step 4: Simplify right side
    8,656.48x = 44,964,105.60
  5. Step 5: Solve for x
    x = 44,964,105.60/8,656.48
  6. Step 6: Final answer
    x = 5,194.27

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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.