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Finding the Fourth Proportional to 8,624.83, 12,940.66 and 6,974.40

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Solution

The fourth proportional to 8,624.83, 12,940.66 and 6,974.40 is: 10,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.83 : 12,940.66 = 6,974.40 : x
  2. Step 2: Convert to fraction form
    8,624.83/12,940.66 = 6,974.40/x
  3. Step 3: Cross multiply
    8,624.83x = 12,940.66 × 6,974.40
  4. Step 4: Simplify right side
    8,624.83x = 90,253,396.35
  5. Step 5: Solve for x
    x = 90,253,396.35/8,624.83
  6. Step 6: Final answer
    x = 10,464.37

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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.