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Finding the Fourth Proportional to 6,399.60, 9,599.40 and 3,814.08

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Solution

The fourth proportional to 6,399.60, 9,599.40 and 3,814.08 is: 5,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.60 : 9,599.40 = 3,814.08 : x
  2. Step 2: Convert to fraction form
    6,399.60/9,599.40 = 3,814.08/x
  3. Step 3: Cross multiply
    6,399.60x = 9,599.40 × 3,814.08
  4. Step 4: Simplify right side
    6,399.60x = 36,612,879.55
  5. Step 5: Solve for x
    x = 36,612,879.55/6,399.60
  6. Step 6: Final answer
    x = 5,721.12

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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.