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Finding the Fourth Proportional to 6,160.80, 8,493.12 and 3,801.60

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Solution

The fourth proportional to 6,160.80, 8,493.12 and 3,801.60 is: 5,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.80 : 8,493.12 = 3,801.60 : x
  2. Step 2: Convert to fraction form
    6,160.80/8,493.12 = 3,801.60/x
  3. Step 3: Cross multiply
    6,160.80x = 8,493.12 × 3,801.60
  4. Step 4: Simplify right side
    6,160.80x = 32,287,444.99
  5. Step 5: Solve for x
    x = 32,287,444.99/6,160.80
  6. Step 6: Final answer
    x = 5,240.79

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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.