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Finding the Fourth Proportional to 3,056.35, 4,584.48 and 747.85

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Solution

The fourth proportional to 3,056.35, 4,584.48 and 747.85 is: 1,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.35 : 4,584.48 = 747.85 : x
  2. Step 2: Convert to fraction form
    3,056.35/4,584.48 = 747.85/x
  3. Step 3: Cross multiply
    3,056.35x = 4,584.48 × 747.85
  4. Step 4: Simplify right side
    3,056.35x = 3,428,503.37
  5. Step 5: Solve for x
    x = 3,428,503.37/3,056.35
  6. Step 6: Final answer
    x = 1,121.76

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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.