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Finding the Fourth Proportional to 8,284.62, 12,431.79 and 5,942.10

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Solution

The fourth proportional to 8,284.62, 12,431.79 and 5,942.10 is: 8,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.62 : 12,431.79 = 5,942.10 : x
  2. Step 2: Convert to fraction form
    8,284.62/12,431.79 = 5,942.10/x
  3. Step 3: Cross multiply
    8,284.62x = 12,431.79 × 5,942.10
  4. Step 4: Simplify right side
    8,284.62x = 73,870,939.36
  5. Step 5: Solve for x
    x = 73,870,939.36/8,284.62
  6. Step 6: Final answer
    x = 8,916.64

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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.