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Finding the Fourth Proportional to 11,776.75, 16,240.75 and 7,736.47

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Solution

The fourth proportional to 11,776.75, 16,240.75 and 7,736.47 is: 10,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.75 : 16,240.75 = 7,736.47 : x
  2. Step 2: Convert to fraction form
    11,776.75/16,240.75 = 7,736.47/x
  3. Step 3: Cross multiply
    11,776.75x = 16,240.75 × 7,736.47
  4. Step 4: Simplify right side
    11,776.75x = 125,646,075.15
  5. Step 5: Solve for x
    x = 125,646,075.15/11,776.75
  6. Step 6: Final answer
    x = 10,668.99

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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.