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Finding the Fourth Proportional to 12,220.74, 16,852.86 and 7,736.31

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Solution

The fourth proportional to 12,220.74, 16,852.86 and 7,736.31 is: 10,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.74 : 16,852.86 = 7,736.31 : x
  2. Step 2: Convert to fraction form
    12,220.74/16,852.86 = 7,736.31/x
  3. Step 3: Cross multiply
    12,220.74x = 16,852.86 × 7,736.31
  4. Step 4: Simplify right side
    12,220.74x = 130,378,949.35
  5. Step 5: Solve for x
    x = 130,378,949.35/12,220.74
  6. Step 6: Final answer
    x = 10,668.66

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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.