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Finding the Fourth Proportional to 7,161.50, 10,662.03 and 7,126.88

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Solution

The fourth proportional to 7,161.50, 10,662.03 and 7,126.88 is: 10,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.50 : 10,662.03 = 7,126.88 : x
  2. Step 2: Convert to fraction form
    7,161.50/10,662.03 = 7,126.88/x
  3. Step 3: Cross multiply
    7,161.50x = 10,662.03 × 7,126.88
  4. Step 4: Simplify right side
    7,161.50x = 75,986,955.06
  5. Step 5: Solve for x
    x = 75,986,955.06/7,161.50
  6. Step 6: Final answer
    x = 10,610.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.