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Finding the Fourth Proportional to 10,832.56, 14,942.06 and 8,310.84

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Solution

The fourth proportional to 10,832.56, 14,942.06 and 8,310.84 is: 11,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.56 : 14,942.06 = 8,310.84 : x
  2. Step 2: Convert to fraction form
    10,832.56/14,942.06 = 8,310.84/x
  3. Step 3: Cross multiply
    10,832.56x = 14,942.06 × 8,310.84
  4. Step 4: Simplify right side
    10,832.56x = 124,181,069.93
  5. Step 5: Solve for x
    x = 124,181,069.93/10,832.56
  6. Step 6: Final answer
    x = 11,463.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.