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Finding the Fourth Proportional to 8,474.06, 12,711.10 and 2,318.06

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Solution

The fourth proportional to 8,474.06, 12,711.10 and 2,318.06 is: 3,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.06 : 12,711.10 = 2,318.06 : x
  2. Step 2: Convert to fraction form
    8,474.06/12,711.10 = 2,318.06/x
  3. Step 3: Cross multiply
    8,474.06x = 12,711.10 × 2,318.06
  4. Step 4: Simplify right side
    8,474.06x = 29,465,118.45
  5. Step 5: Solve for x
    x = 29,465,118.45/8,474.06
  6. Step 6: Final answer
    x = 3,477.09

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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.