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Finding the Fourth Proportional to 10,813.77, 14,900.86 and 7,976.65

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Solution

The fourth proportional to 10,813.77, 14,900.86 and 7,976.65 is: 10,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.77 : 14,900.86 = 7,976.65 : x
  2. Step 2: Convert to fraction form
    10,813.77/14,900.86 = 7,976.65/x
  3. Step 3: Cross multiply
    10,813.77x = 14,900.86 × 7,976.65
  4. Step 4: Simplify right side
    10,813.77x = 118,858,944.92
  5. Step 5: Solve for x
    x = 118,858,944.92/10,813.77
  6. Step 6: Final answer
    x = 10,991.44

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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.