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Finding the Fourth Proportional to 6,381.75, 9,570.81 and 2,684.82

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Solution

The fourth proportional to 6,381.75, 9,570.81 and 2,684.82 is: 4,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.75 : 9,570.81 = 2,684.82 : x
  2. Step 2: Convert to fraction form
    6,381.75/9,570.81 = 2,684.82/x
  3. Step 3: Cross multiply
    6,381.75x = 9,570.81 × 2,684.82
  4. Step 4: Simplify right side
    6,381.75x = 25,695,902.10
  5. Step 5: Solve for x
    x = 25,695,902.10/6,381.75
  6. Step 6: Final answer
    x = 4,026.47

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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.