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Finding the Fourth Proportional to 14,846.74, 20,489.68 and 8,471.86

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Solution

The fourth proportional to 14,846.74, 20,489.68 and 8,471.86 is: 11,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.74 : 20,489.68 = 8,471.86 : x
  2. Step 2: Convert to fraction form
    14,846.74/20,489.68 = 8,471.86/x
  3. Step 3: Cross multiply
    14,846.74x = 20,489.68 × 8,471.86
  4. Step 4: Simplify right side
    14,846.74x = 173,585,700.40
  5. Step 5: Solve for x
    x = 173,585,700.40/14,846.74
  6. Step 6: Final answer
    x = 11,691.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.