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Finding the Fourth Proportional to 8,114.63, 12,171.95 and 1,958.63

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Solution

The fourth proportional to 8,114.63, 12,171.95 and 1,958.63 is: 2,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.63 : 12,171.95 = 1,958.63 : x
  2. Step 2: Convert to fraction form
    8,114.63/12,171.95 = 1,958.63/x
  3. Step 3: Cross multiply
    8,114.63x = 12,171.95 × 1,958.63
  4. Step 4: Simplify right side
    8,114.63x = 23,840,336.64
  5. Step 5: Solve for x
    x = 23,840,336.64/8,114.63
  6. Step 6: Final answer
    x = 2,937.95

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1.5x scale

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.