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Finding the Fourth Proportional to 10,709.80, 16,062.78 and 2,917.96

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Solution

The fourth proportional to 10,709.80, 16,062.78 and 2,917.96 is: 4,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.80 : 16,062.78 = 2,917.96 : x
  2. Step 2: Convert to fraction form
    10,709.80/16,062.78 = 2,917.96/x
  3. Step 3: Cross multiply
    10,709.80x = 16,062.78 × 2,917.96
  4. Step 4: Simplify right side
    10,709.80x = 46,870,549.53
  5. Step 5: Solve for x
    x = 46,870,549.53/10,709.80
  6. Step 6: Final answer
    x = 4,376.42

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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.