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Finding the Fourth Proportional to 6,381.65, 9,572.46 and 3,478.40

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Solution

The fourth proportional to 6,381.65, 9,572.46 and 3,478.40 is: 5,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.65 : 9,572.46 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    6,381.65/9,572.46 = 3,478.40/x
  3. Step 3: Cross multiply
    6,381.65x = 9,572.46 × 3,478.40
  4. Step 4: Simplify right side
    6,381.65x = 33,296,797.00
  5. Step 5: Solve for x
    x = 33,296,797.00/6,381.65
  6. Step 6: Final answer
    x = 5,217.59

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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.