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Finding the Fourth Proportional to 4,486.76, 6,731.49 and 2,709.80

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Solution

The fourth proportional to 4,486.76, 6,731.49 and 2,709.80 is: 4,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.76 : 6,731.49 = 2,709.80 : x
  2. Step 2: Convert to fraction form
    4,486.76/6,731.49 = 2,709.80/x
  3. Step 3: Cross multiply
    4,486.76x = 6,731.49 × 2,709.80
  4. Step 4: Simplify right side
    4,486.76x = 18,240,991.60
  5. Step 5: Solve for x
    x = 18,240,991.60/4,486.76
  6. Step 6: Final answer
    x = 4,065.52

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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.