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Finding the Fourth Proportional to 4,493.88, 6,739.89 and 1,206.18

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Solution

The fourth proportional to 4,493.88, 6,739.89 and 1,206.18 is: 1,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.88 : 6,739.89 = 1,206.18 : x
  2. Step 2: Convert to fraction form
    4,493.88/6,739.89 = 1,206.18/x
  3. Step 3: Cross multiply
    4,493.88x = 6,739.89 × 1,206.18
  4. Step 4: Simplify right side
    4,493.88x = 8,129,520.52
  5. Step 5: Solve for x
    x = 8,129,520.52/4,493.88
  6. Step 6: Final answer
    x = 1,809.02

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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.