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Finding the Fourth Proportional to 6,407.73, 9,612.90 and 3,635.73

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Solution

The fourth proportional to 6,407.73, 9,612.90 and 3,635.73 is: 5,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.73 : 9,612.90 = 3,635.73 : x
  2. Step 2: Convert to fraction form
    6,407.73/9,612.90 = 3,635.73/x
  3. Step 3: Cross multiply
    6,407.73x = 9,612.90 × 3,635.73
  4. Step 4: Simplify right side
    6,407.73x = 34,949,908.92
  5. Step 5: Solve for x
    x = 34,949,908.92/6,407.73
  6. Step 6: Final answer
    x = 5,454.34

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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.