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Finding the Fourth Proportional to 10,892.63, 16,343.72 and 8,448.65

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Solution

The fourth proportional to 10,892.63, 16,343.72 and 8,448.65 is: 12,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.63 : 16,343.72 = 8,448.65 : x
  2. Step 2: Convert to fraction form
    10,892.63/16,343.72 = 8,448.65/x
  3. Step 3: Cross multiply
    10,892.63x = 16,343.72 × 8,448.65
  4. Step 4: Simplify right side
    10,892.63x = 138,082,478.44
  5. Step 5: Solve for x
    x = 138,082,478.44/10,892.63
  6. Step 6: Final answer
    x = 12,676.69

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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.