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Finding the Fourth Proportional to 5,811.60, 8,021.04 and 3,453.60

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Solution

The fourth proportional to 5,811.60, 8,021.04 and 3,453.60 is: 4,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.60 : 8,021.04 = 3,453.60 : x
  2. Step 2: Convert to fraction form
    5,811.60/8,021.04 = 3,453.60/x
  3. Step 3: Cross multiply
    5,811.60x = 8,021.04 × 3,453.60
  4. Step 4: Simplify right side
    5,811.60x = 27,701,463.74
  5. Step 5: Solve for x
    x = 27,701,463.74/5,811.60
  6. Step 6: Final answer
    x = 4,766.58

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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.