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Finding the Fourth Proportional to 8,157.91, 12,232.99 and 3,162.62

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Solution

The fourth proportional to 8,157.91, 12,232.99 and 3,162.62 is: 4,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.91 : 12,232.99 = 3,162.62 : x
  2. Step 2: Convert to fraction form
    8,157.91/12,232.99 = 3,162.62/x
  3. Step 3: Cross multiply
    8,157.91x = 12,232.99 × 3,162.62
  4. Step 4: Simplify right side
    8,157.91x = 38,688,298.83
  5. Step 5: Solve for x
    x = 38,688,298.83/8,157.91
  6. Step 6: Final answer
    x = 4,742.43

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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.