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Finding the Fourth Proportional to 12,224.75, 16,880.49 and 7,756.43

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Solution

The fourth proportional to 12,224.75, 16,880.49 and 7,756.43 is: 10,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.75 : 16,880.49 = 7,756.43 : x
  2. Step 2: Convert to fraction form
    12,224.75/16,880.49 = 7,756.43/x
  3. Step 3: Cross multiply
    12,224.75x = 16,880.49 × 7,756.43
  4. Step 4: Simplify right side
    12,224.75x = 130,932,254.65
  5. Step 5: Solve for x
    x = 130,932,254.65/12,224.75
  6. Step 6: Final answer
    x = 10,710.43

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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.