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Finding the Fourth Proportional to 12,666.44, 18,986.70 and 6,414.88

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Solution

The fourth proportional to 12,666.44, 18,986.70 and 6,414.88 is: 9,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.44 : 18,986.70 = 6,414.88 : x
  2. Step 2: Convert to fraction form
    12,666.44/18,986.70 = 6,414.88/x
  3. Step 3: Cross multiply
    12,666.44x = 18,986.70 × 6,414.88
  4. Step 4: Simplify right side
    12,666.44x = 121,797,402.10
  5. Step 5: Solve for x
    x = 121,797,402.10/12,666.44
  6. Step 6: Final answer
    x = 9,615.76

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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.