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Finding the Fourth Proportional to 10,651.94, 14,694.08 and 8,129.65

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Solution

The fourth proportional to 10,651.94, 14,694.08 and 8,129.65 is: 11,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.94 : 14,694.08 = 8,129.65 : x
  2. Step 2: Convert to fraction form
    10,651.94/14,694.08 = 8,129.65/x
  3. Step 3: Cross multiply
    10,651.94x = 14,694.08 × 8,129.65
  4. Step 4: Simplify right side
    10,651.94x = 119,457,727.47
  5. Step 5: Solve for x
    x = 119,457,727.47/10,651.94
  6. Step 6: Final answer
    x = 11,214.65

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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.