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Finding the Fourth Proportional to 6,493.42, 8,959.47 and 3,975.33

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Solution

The fourth proportional to 6,493.42, 8,959.47 and 3,975.33 is: 5,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.42 : 8,959.47 = 3,975.33 : x
  2. Step 2: Convert to fraction form
    6,493.42/8,959.47 = 3,975.33/x
  3. Step 3: Cross multiply
    6,493.42x = 8,959.47 × 3,975.33
  4. Step 4: Simplify right side
    6,493.42x = 35,616,849.88
  5. Step 5: Solve for x
    x = 35,616,849.88/6,493.42
  6. Step 6: Final answer
    x = 5,485.07

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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.