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Finding the Fourth Proportional to 12,461.40, 17,195.76 and 7,744.80

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Solution

The fourth proportional to 12,461.40, 17,195.76 and 7,744.80 is: 10,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.40 : 17,195.76 = 7,744.80 : x
  2. Step 2: Convert to fraction form
    12,461.40/17,195.76 = 7,744.80/x
  3. Step 3: Cross multiply
    12,461.40x = 17,195.76 × 7,744.80
  4. Step 4: Simplify right side
    12,461.40x = 133,177,722.05
  5. Step 5: Solve for x
    x = 133,177,722.05/12,461.40
  6. Step 6: Final answer
    x = 10,687.22

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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.