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Finding the Fourth Proportional to 6,382.72, 9,573 and 3,462.40

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Solution

The fourth proportional to 6,382.72, 9,573 and 3,462.40 is: 5,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.72 : 9,573 = 3,462.40 : x
  2. Step 2: Convert to fraction form
    6,382.72/9,573 = 3,462.40/x
  3. Step 3: Cross multiply
    6,382.72x = 9,573 × 3,462.40
  4. Step 4: Simplify right side
    6,382.72x = 33,145,555.20
  5. Step 5: Solve for x
    x = 33,145,555.20/6,382.72
  6. Step 6: Final answer
    x = 5,193.01

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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.