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Finding the Fourth Proportional to 6,400.36, 9,604.90 and 3,927.63

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Solution

The fourth proportional to 6,400.36, 9,604.90 and 3,927.63 is: 5,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.36 : 9,604.90 = 3,927.63 : x
  2. Step 2: Convert to fraction form
    6,400.36/9,604.90 = 3,927.63/x
  3. Step 3: Cross multiply
    6,400.36x = 9,604.90 × 3,927.63
  4. Step 4: Simplify right side
    6,400.36x = 37,724,512.22
  5. Step 5: Solve for x
    x = 37,724,512.22/6,400.36
  6. Step 6: Final answer
    x = 5,894.12

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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.