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Finding the Fourth Proportional to 6,407.54, 9,617.30 and 3,947.16

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Solution

The fourth proportional to 6,407.54, 9,617.30 and 3,947.16 is: 5,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.54 : 9,617.30 = 3,947.16 : x
  2. Step 2: Convert to fraction form
    6,407.54/9,617.30 = 3,947.16/x
  3. Step 3: Cross multiply
    6,407.54x = 9,617.30 × 3,947.16
  4. Step 4: Simplify right side
    6,407.54x = 37,961,021.87
  5. Step 5: Solve for x
    x = 37,961,021.87/6,407.54
  6. Step 6: Final answer
    x = 5,924.43

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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.