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Finding the Fourth Proportional to 7,161.77, 10,742.49 and 4,218.88

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Solution

The fourth proportional to 7,161.77, 10,742.49 and 4,218.88 is: 6,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.77 : 10,742.49 = 4,218.88 : x
  2. Step 2: Convert to fraction form
    7,161.77/10,742.49 = 4,218.88/x
  3. Step 3: Cross multiply
    7,161.77x = 10,742.49 × 4,218.88
  4. Step 4: Simplify right side
    7,161.77x = 45,321,269.50
  5. Step 5: Solve for x
    x = 45,321,269.50/7,161.77
  6. Step 6: Final answer
    x = 6,328.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.