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Finding the Fourth Proportional to 6,345.44, 9,520.84 and 3,420.33

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Solution

The fourth proportional to 6,345.44, 9,520.84 and 3,420.33 is: 5,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.44 : 9,520.84 = 3,420.33 : x
  2. Step 2: Convert to fraction form
    6,345.44/9,520.84 = 3,420.33/x
  3. Step 3: Cross multiply
    6,345.44x = 9,520.84 × 3,420.33
  4. Step 4: Simplify right side
    6,345.44x = 32,564,383.25
  5. Step 5: Solve for x
    x = 32,564,383.25/6,345.44
  6. Step 6: Final answer
    x = 5,131.94

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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.