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Finding the Fourth Proportional to 3,251.58, 4,877.35 and 786.41

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Solution

The fourth proportional to 3,251.58, 4,877.35 and 786.41 is: 1,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.58 : 4,877.35 = 786.41 : x
  2. Step 2: Convert to fraction form
    3,251.58/4,877.35 = 786.41/x
  3. Step 3: Cross multiply
    3,251.58x = 4,877.35 × 786.41
  4. Step 4: Simplify right side
    3,251.58x = 3,835,588.75
  5. Step 5: Solve for x
    x = 3,835,588.75/3,251.58
  6. Step 6: Final answer
    x = 1,179.61

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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.