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Finding the Fourth Proportional to 8,646.75, 12,994.49 and 5,137.43

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Solution

The fourth proportional to 8,646.75, 12,994.49 and 5,137.43 is: 7,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 12,994.49 = 5,137.43 : x
  2. Step 2: Convert to fraction form
    8,646.75/12,994.49 = 5,137.43/x
  3. Step 3: Cross multiply
    8,646.75x = 12,994.49 × 5,137.43
  4. Step 4: Simplify right side
    8,646.75x = 66,758,230.63
  5. Step 5: Solve for x
    x = 66,758,230.63/8,646.75
  6. Step 6: Final answer
    x = 7,720.62

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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.