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Finding the Fourth Proportional to 4,872.68, 6,724.56 and 2,776.80

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Solution

The fourth proportional to 4,872.68, 6,724.56 and 2,776.80 is: 3,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.68 : 6,724.56 = 2,776.80 : x
  2. Step 2: Convert to fraction form
    4,872.68/6,724.56 = 2,776.80/x
  3. Step 3: Cross multiply
    4,872.68x = 6,724.56 × 2,776.80
  4. Step 4: Simplify right side
    4,872.68x = 18,672,758.21
  5. Step 5: Solve for x
    x = 18,672,758.21/4,872.68
  6. Step 6: Final answer
    x = 3,832.13

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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.