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Finding the Fourth Proportional to 8,474.36, 12,705.64 and 3,728.22

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Solution

The fourth proportional to 8,474.36, 12,705.64 and 3,728.22 is: 5,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.36 : 12,705.64 = 3,728.22 : x
  2. Step 2: Convert to fraction form
    8,474.36/12,705.64 = 3,728.22/x
  3. Step 3: Cross multiply
    8,474.36x = 12,705.64 × 3,728.22
  4. Step 4: Simplify right side
    8,474.36x = 47,369,421.16
  5. Step 5: Solve for x
    x = 47,369,421.16/8,474.36
  6. Step 6: Final answer
    x = 5,589.73

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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.