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Finding the Fourth Proportional to 6,407.64, 9,617.40 and 3,947.27

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Solution

The fourth proportional to 6,407.64, 9,617.40 and 3,947.27 is: 5,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.64 : 9,617.40 = 3,947.27 : x
  2. Step 2: Convert to fraction form
    6,407.64/9,617.40 = 3,947.27/x
  3. Step 3: Cross multiply
    6,407.64x = 9,617.40 × 3,947.27
  4. Step 4: Simplify right side
    6,407.64x = 37,962,426.41
  5. Step 5: Solve for x
    x = 37,962,426.41/6,407.64
  6. Step 6: Final answer
    x = 5,924.56

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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.