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Finding the Fourth Proportional to 6,409, 8,844.51 and 3,925

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Solution

The fourth proportional to 6,409, 8,844.51 and 3,925 is: 5,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409 : 8,844.51 = 3,925 : x
  2. Step 2: Convert to fraction form
    6,409/8,844.51 = 3,925/x
  3. Step 3: Cross multiply
    6,409x = 8,844.51 × 3,925
  4. Step 4: Simplify right side
    6,409x = 34,714,701.75
  5. Step 5: Solve for x
    x = 34,714,701.75/6,409
  6. Step 6: Final answer
    x = 5,416.56

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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.