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Finding the Fourth Proportional to 8,662.97, 12,991.01 and 3,114.60

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Solution

The fourth proportional to 8,662.97, 12,991.01 and 3,114.60 is: 4,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.97 : 12,991.01 = 3,114.60 : x
  2. Step 2: Convert to fraction form
    8,662.97/12,991.01 = 3,114.60/x
  3. Step 3: Cross multiply
    8,662.97x = 12,991.01 × 3,114.60
  4. Step 4: Simplify right side
    8,662.97x = 40,461,784.17
  5. Step 5: Solve for x
    x = 40,461,784.17/8,662.97
  6. Step 6: Final answer
    x = 4,670.66

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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.