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Finding the Fourth Proportional to 3,206.72, 4,787.11 and 3,064.88

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Solution

The fourth proportional to 3,206.72, 4,787.11 and 3,064.88 is: 4,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.72 : 4,787.11 = 3,064.88 : x
  2. Step 2: Convert to fraction form
    3,206.72/4,787.11 = 3,064.88/x
  3. Step 3: Cross multiply
    3,206.72x = 4,787.11 × 3,064.88
  4. Step 4: Simplify right side
    3,206.72x = 14,671,917.70
  5. Step 5: Solve for x
    x = 14,671,917.70/3,206.72
  6. Step 6: Final answer
    x = 4,575.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.