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Finding the Fourth Proportional to 8,662.64, 12,986.15 and 3,114.68

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Solution

The fourth proportional to 8,662.64, 12,986.15 and 3,114.68 is: 4,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.64 : 12,986.15 = 3,114.68 : x
  2. Step 2: Convert to fraction form
    8,662.64/12,986.15 = 3,114.68/x
  3. Step 3: Cross multiply
    8,662.64x = 12,986.15 × 3,114.68
  4. Step 4: Simplify right side
    8,662.64x = 40,447,621.18
  5. Step 5: Solve for x
    x = 40,447,621.18/8,662.64
  6. Step 6: Final answer
    x = 4,669.21

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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.