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Finding the Fourth Proportional to 6,503.96, 8,975.44 and 3,519.81

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Solution

The fourth proportional to 6,503.96, 8,975.44 and 3,519.81 is: 4,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.96 : 8,975.44 = 3,519.81 : x
  2. Step 2: Convert to fraction form
    6,503.96/8,975.44 = 3,519.81/x
  3. Step 3: Cross multiply
    6,503.96x = 8,975.44 × 3,519.81
  4. Step 4: Simplify right side
    6,503.96x = 31,591,843.47
  5. Step 5: Solve for x
    x = 31,591,843.47/6,503.96
  6. Step 6: Final answer
    x = 4,857.32

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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.