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Finding the Fourth Proportional to 6,477.96, 8,939.50 and 3,645.84

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Solution

The fourth proportional to 6,477.96, 8,939.50 and 3,645.84 is: 5,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.96 : 8,939.50 = 3,645.84 : x
  2. Step 2: Convert to fraction form
    6,477.96/8,939.50 = 3,645.84/x
  3. Step 3: Cross multiply
    6,477.96x = 8,939.50 × 3,645.84
  4. Step 4: Simplify right side
    6,477.96x = 32,591,986.68
  5. Step 5: Solve for x
    x = 32,591,986.68/6,477.96
  6. Step 6: Final answer
    x = 5,031.21

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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.